What is the Greatest Common Factor of 52756 and 52764?

Greatest common factor (GCF) of 52756 and 52764 is 4.

GCF(52756,52764) = 4

We will now calculate the prime factors of 52756 and 52764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52756 and 52764.

How to find the GCF of 52756 and 52764?

We will first find the prime factorization of 52756 and 52764. After we will calculate the factors of 52756 and 52764 and find the biggest common factor number .

Step-1: Prime Factorization of 52756

Prime factors of 52756 are 2, 11, 109. Prime factorization of 52756 in exponential form is:

52756 = 2² × 11² × 109¹

Step-2: Prime Factorization of 52764

Prime factors of 52764 are 2, 3, 4397. Prime factorization of 52764 in exponential form is:

52764 = 2² × 3¹ × 4397¹

Step-3: Factors of 52756

List of positive integer factors of 52756 that divides 52756 without a remainder.

1, 2, 4, 11, 22, 44, 109, 121, 218, 242, 436, 484, 1199, 2398, 4796, 13189, 26378

Step-4: Factors of 52764

List of positive integer factors of 52764 that divides 52756 without a remainder.

1, 2, 3, 4, 6, 12, 4397, 8794, 13191, 17588, 26382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52756 and 52764. The biggest common factor number is the GCF number.
So the greatest common factor 52756 and 52764 is 4.

Also check out the Least Common Multiple of 52756 and 52764