What is the Greatest Common Factor of 52701 and 52712?

Greatest common factor (GCF) of 52701 and 52712 is 11.

GCF(52701,52712) = 11

We will now calculate the prime factors of 52701 and 52712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52701 and 52712.

How to find the GCF of 52701 and 52712?

We will first find the prime factorization of 52701 and 52712. After we will calculate the factors of 52701 and 52712 and find the biggest common factor number .

Step-1: Prime Factorization of 52701

Prime factors of 52701 are 3, 11, 1597. Prime factorization of 52701 in exponential form is:

52701 = 3¹ × 11¹ × 1597¹

Step-2: Prime Factorization of 52712

Prime factors of 52712 are 2, 11, 599. Prime factorization of 52712 in exponential form is:

52712 = 2³ × 11¹ × 599¹

Step-3: Factors of 52701

List of positive integer factors of 52701 that divides 52701 without a remainder.

1, 3, 11, 33, 1597, 4791, 17567

Step-4: Factors of 52712

List of positive integer factors of 52712 that divides 52701 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 599, 1198, 2396, 4792, 6589, 13178, 26356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52701 and 52712. The biggest common factor number is the GCF number.
So the greatest common factor 52701 and 52712 is 11.

Also check out the Least Common Multiple of 52701 and 52712