What is the Greatest Common Factor of 57852 and 57872?

Greatest common factor (GCF) of 57852 and 57872 is 4.

GCF(57852,57872) = 4

We will now calculate the prime factors of 57852 and 57872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57852 and 57872.

How to find the GCF of 57852 and 57872?

We will first find the prime factorization of 57852 and 57872. After we will calculate the factors of 57852 and 57872 and find the biggest common factor number .

Step-1: Prime Factorization of 57852

Prime factors of 57852 are 2, 3, 1607. Prime factorization of 57852 in exponential form is:

57852 = 2² × 3² × 1607¹

Step-2: Prime Factorization of 57872

Prime factors of 57872 are 2, 3617. Prime factorization of 57872 in exponential form is:

57872 = 2⁴ × 3617¹

Step-3: Factors of 57852

List of positive integer factors of 57852 that divides 57852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1607, 3214, 4821, 6428, 9642, 14463, 19284, 28926

Step-4: Factors of 57872

List of positive integer factors of 57872 that divides 57852 without a remainder.

1, 2, 4, 8, 16, 3617, 7234, 14468, 28936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57852 and 57872. The biggest common factor number is the GCF number.
So the greatest common factor 57852 and 57872 is 4.

Also check out the Least Common Multiple of 57852 and 57872