What is the Greatest Common Factor of 52772 and 52788?

Greatest common factor (GCF) of 52772 and 52788 is 4.

GCF(52772,52788) = 4

We will now calculate the prime factors of 52772 and 52788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52772 and 52788.

How to find the GCF of 52772 and 52788?

We will first find the prime factorization of 52772 and 52788. After we will calculate the factors of 52772 and 52788 and find the biggest common factor number .

Step-1: Prime Factorization of 52772

Prime factors of 52772 are 2, 79, 167. Prime factorization of 52772 in exponential form is:

52772 = 2² × 79¹ × 167¹

Step-2: Prime Factorization of 52788

Prime factors of 52788 are 2, 3, 53, 83. Prime factorization of 52788 in exponential form is:

52788 = 2² × 3¹ × 53¹ × 83¹

Step-3: Factors of 52772

List of positive integer factors of 52772 that divides 52772 without a remainder.

1, 2, 4, 79, 158, 167, 316, 334, 668, 13193, 26386

Step-4: Factors of 52788

List of positive integer factors of 52788 that divides 52772 without a remainder.

1, 2, 3, 4, 6, 12, 53, 83, 106, 159, 166, 212, 249, 318, 332, 498, 636, 996, 4399, 8798, 13197, 17596, 26394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52772 and 52788. The biggest common factor number is the GCF number.
So the greatest common factor 52772 and 52788 is 4.

Also check out the Least Common Multiple of 52772 and 52788