What is the Greatest Common Factor of 57814 and 57828?

Greatest common factor (GCF) of 57814 and 57828 is 2.

GCF(57814,57828) = 2

We will now calculate the prime factors of 57814 and 57828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57814 and 57828.

How to find the GCF of 57814 and 57828?

We will first find the prime factorization of 57814 and 57828. After we will calculate the factors of 57814 and 57828 and find the biggest common factor number .

Step-1: Prime Factorization of 57814

Prime factors of 57814 are 2, 137, 211. Prime factorization of 57814 in exponential form is:

57814 = 2¹ × 137¹ × 211¹

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 57814

List of positive integer factors of 57814 that divides 57814 without a remainder.

1, 2, 137, 211, 274, 422, 28907

Step-4: Factors of 57828

List of positive integer factors of 57828 that divides 57814 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 57814 and 57828. The biggest common factor number is the GCF number.
So the greatest common factor 57814 and 57828 is 2.

Also check out the Least Common Multiple of 57814 and 57828