What is the Greatest Common Factor of 57832 and 57852?

Greatest common factor (GCF) of 57832 and 57852 is 4.

GCF(57832,57852) = 4

We will now calculate the prime factors of 57832 and 57852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57832 and 57852.

How to find the GCF of 57832 and 57852?

We will first find the prime factorization of 57832 and 57852. After we will calculate the factors of 57832 and 57852 and find the biggest common factor number .

Step-1: Prime Factorization of 57832

Prime factors of 57832 are 2, 7229. Prime factorization of 57832 in exponential form is:

57832 = 2³ × 7229¹

Step-2: 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-3: Factors of 57832

List of positive integer factors of 57832 that divides 57832 without a remainder.

1, 2, 4, 8, 7229, 14458, 28916

Step-4: Factors of 57852

List of positive integer factors of 57852 that divides 57832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57832 and 57852. The biggest common factor number is the GCF number.
So the greatest common factor 57832 and 57852 is 4.

Also check out the Least Common Multiple of 57832 and 57852