What is the Greatest Common Factor of 52745 and 52756?

Greatest common factor (GCF) of 52745 and 52756 is 11.

GCF(52745,52756) = 11

We will now calculate the prime factors of 52745 and 52756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52745 and 52756.

How to find the GCF of 52745 and 52756?

We will first find the prime factorization of 52745 and 52756. After we will calculate the factors of 52745 and 52756 and find the biggest common factor number .

Step-1: Prime Factorization of 52745

Prime factors of 52745 are 5, 7, 11, 137. Prime factorization of 52745 in exponential form is:

52745 = 5¹ × 7¹ × 11¹ × 137¹

Step-2: 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-3: Factors of 52745

List of positive integer factors of 52745 that divides 52745 without a remainder.

1, 5, 7, 11, 35, 55, 77, 137, 385, 685, 959, 1507, 4795, 7535, 10549

Step-4: Factors of 52756

List of positive integer factors of 52756 that divides 52745 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52745 and 52756. The biggest common factor number is the GCF number.
So the greatest common factor 52745 and 52756 is 11.

Also check out the Least Common Multiple of 52745 and 52756