What is the Greatest Common Factor of 57812 and 57828?

Greatest common factor (GCF) of 57812 and 57828 is 4.

GCF(57812,57828) = 4

We will now calculate the prime factors of 57812 and 57828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57812 and 57828.

How to find the GCF of 57812 and 57828?

We will first find the prime factorization of 57812 and 57828. After we will calculate the factors of 57812 and 57828 and find the biggest common factor number .

Step-1: Prime Factorization of 57812

Prime factors of 57812 are 2, 97, 149. Prime factorization of 57812 in exponential form is:

57812 = 2² × 97¹ × 149¹

Step-2: Prime Factorization of 57828

Prime factors of 57828 are 2, 3, 61, 79. Prime factorization of 57828 in exponential form is:

57828 = 2² × 3¹ × 61¹ × 79¹

Step-3: Factors of 57812

List of positive integer factors of 57812 that divides 57812 without a remainder.

1, 2, 4, 97, 149, 194, 298, 388, 596, 14453, 28906

Step-4: Factors of 57828

List of positive integer factors of 57828 that divides 57812 without a remainder.

1, 2, 3, 4, 6, 12, 61, 79, 122, 158, 183, 237, 244, 316, 366, 474, 732, 948, 4819, 9638, 14457, 19276, 28914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57812 and 57828. The biggest common factor number is the GCF number.
So the greatest common factor 57812 and 57828 is 4.

Also check out the Least Common Multiple of 57812 and 57828