What is the Greatest Common Factor of 52653 and 52671?

Greatest common factor (GCF) of 52653 and 52671 is 3.

GCF(52653,52671) = 3

We will now calculate the prime factors of 52653 and 52671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52653 and 52671.

How to find the GCF of 52653 and 52671?

We will first find the prime factorization of 52653 and 52671. After we will calculate the factors of 52653 and 52671 and find the biggest common factor number .

Step-1: Prime Factorization of 52653

Prime factors of 52653 are 3, 17551. Prime factorization of 52653 in exponential form is:

52653 = 3¹ × 17551¹

Step-2: Prime Factorization of 52671

Prime factors of 52671 are 3, 97, 181. Prime factorization of 52671 in exponential form is:

52671 = 3¹ × 97¹ × 181¹

Step-3: Factors of 52653

List of positive integer factors of 52653 that divides 52653 without a remainder.

1, 3, 17551

Step-4: Factors of 52671

List of positive integer factors of 52671 that divides 52653 without a remainder.

1, 3, 97, 181, 291, 543, 17557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52653 and 52671. The biggest common factor number is the GCF number.
So the greatest common factor 52653 and 52671 is 3.

Also check out the Least Common Multiple of 52653 and 52671