The greatest common factor (GCF) of 42 and 54 is 6. The GCF is the largest positive integer that evenly divides two or more numbers. To find the GCF, you can use a variety of methods, such as prime factorization, the Euclidean Algorithm, or a GCF calculator.
Prime factorization involves breaking the two numbers down into their prime factors, which are the smallest prime numbers that multiplied together make the original numbers. In the case of 42 and 54, the prime factors are 2 and 3.
To determine the GCF, look for the largest number that is common between the two prime factorizations. In this case, it is 2 x 3 = 6, so the GCF of 42 and 54 is 6.
Is GCF and LCM of 54 and 72?
Yes, the Greatest Common Factor (GCF) and Least Common Multiple (LCM) of 54 and 72 are 18 and 216, respectively. The GCF is the largest number that divides two or more numbers evenly, whereas the LCM is the smallest number that is a multiple of two or more numbers.
In this case, 18 is the largest number that divides both 54 and 72 evenly, making it the GCF. To find the LCM, you would need to find the smallest number that is a multiple of both 54 and 72, which is 216.
What are factors of 54?
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. Each of these numbers can be multiplied to get equal to 54 without leaving any remainder. In result, these numbers are the factors of 54.
For example, 3 and 18 can be multiplied to result in 54, which is 3 x 18 = 54. Similarly, 2 and 27 can be multiplied to get 54, where 2 x 27 = 54. In addition, 54 multiplied by 1 (54 x 1) will also result in 54.
What is the least common multiple of 42 and 54?
The least common multiple (LCM) of two numbers is the smallest positive number that is a multiple of both of the numbers. In this case, the LCM of 42 and 54 is 1836. You can calculate the LCM of two numbers by listing the prime factors of each number, combining any common factors and then multiplying the remaining prime factors.
In this case, the prime factors of 42 are 2, 3, and 7 and the prime factors of 54 are 2, 3, 3, and 3. The prime factors that are in common are 2 and 3, and the remaining factors that need to be multiplied together are 3, 3, and 7.
So when you multiply 3, 3, and 7 together you get 1836 which is the LCM of 42 and 54.
What is the lowest factor of 42?
The lowest factor of 42 is 1. Factors are the numbers you multiply together to get a product. 42 can be divided evenly by 1, 2, 3, 6, 7, 14, 21, and 42. This makes 1 the lowest factor of 42.
How do you find the GCF of 52?
The GCF (greatest common factor) of 52 is the greatest number that can divide 52 evenly. To find the GCF of 52, start by listing the factors of 52:
1, 2, 4, 13, 26, and 52. Then, find the largest number that can divide each of the numbers in the list above. In this case, the GCF of 52 is 4, as it is the greatest number that divides each element on the list evenly.
