What is the Greatest Common Factor of 57756 and 57768?

Greatest common factor (GCF) of 57756 and 57768 is 12.

GCF(57756,57768) = 12

We will now calculate the prime factors of 57756 and 57768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57756 and 57768.

How to find the GCF of 57756 and 57768?

We will first find the prime factorization of 57756 and 57768. After we will calculate the factors of 57756 and 57768 and find the biggest common factor number .

Step-1: Prime Factorization of 57756

Prime factors of 57756 are 2, 3, 4813. Prime factorization of 57756 in exponential form is:

57756 = 2² × 3¹ × 4813¹

Step-2: Prime Factorization of 57768

Prime factors of 57768 are 2, 3, 29, 83. Prime factorization of 57768 in exponential form is:

57768 = 2³ × 3¹ × 29¹ × 83¹

Step-3: Factors of 57756

List of positive integer factors of 57756 that divides 57756 without a remainder.

1, 2, 3, 4, 6, 12, 4813, 9626, 14439, 19252, 28878

Step-4: Factors of 57768

List of positive integer factors of 57768 that divides 57756 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 83, 87, 116, 166, 174, 232, 249, 332, 348, 498, 664, 696, 996, 1992, 2407, 4814, 7221, 9628, 14442, 19256, 28884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57756 and 57768. The biggest common factor number is the GCF number.
So the greatest common factor 57756 and 57768 is 12.

Also check out the Least Common Multiple of 57756 and 57768