What is the Greatest Common Factor of 53757 and 53772?

Greatest common factor (GCF) of 53757 and 53772 is 3.

GCF(53757,53772) = 3

We will now calculate the prime factors of 53757 and 53772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53757 and 53772.

How to find the GCF of 53757 and 53772?

We will first find the prime factorization of 53757 and 53772. After we will calculate the factors of 53757 and 53772 and find the biggest common factor number .

Step-1: Prime Factorization of 53757

Prime factors of 53757 are 3, 11, 181. Prime factorization of 53757 in exponential form is:

53757 = 3³ × 11¹ × 181¹

Step-2: Prime Factorization of 53772

Prime factors of 53772 are 2, 3, 4481. Prime factorization of 53772 in exponential form is:

53772 = 2² × 3¹ × 4481¹

Step-3: Factors of 53757

List of positive integer factors of 53757 that divides 53757 without a remainder.

1, 3, 9, 11, 27, 33, 99, 181, 297, 543, 1629, 1991, 4887, 5973, 17919

Step-4: Factors of 53772

List of positive integer factors of 53772 that divides 53757 without a remainder.

1, 2, 3, 4, 6, 12, 4481, 8962, 13443, 17924, 26886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53757 and 53772. The biggest common factor number is the GCF number.
So the greatest common factor 53757 and 53772 is 3.

Also check out the Least Common Multiple of 53757 and 53772