What is the Greatest Common Factor of 52637 and 52647?

Greatest common factor (GCF) of 52637 and 52647 is 1.

GCF(52637,52647) = 1

We will now calculate the prime factors of 52637 and 52647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52637 and 52647.

How to find the GCF of 52637 and 52647?

We will first find the prime factorization of 52637 and 52647. After we will calculate the factors of 52637 and 52647 and find the biggest common factor number .

Step-1: Prime Factorization of 52637

Prime factors of 52637 are 13, 4049. Prime factorization of 52637 in exponential form is:

52637 = 13¹ × 4049¹

Step-2: Prime Factorization of 52647

Prime factors of 52647 are 3, 7, 23, 109. Prime factorization of 52647 in exponential form is:

52647 = 3¹ × 7¹ × 23¹ × 109¹

Step-3: Factors of 52637

List of positive integer factors of 52637 that divides 52637 without a remainder.

1, 13, 4049

Step-4: Factors of 52647

List of positive integer factors of 52647 that divides 52637 without a remainder.

1, 3, 7, 21, 23, 69, 109, 161, 327, 483, 763, 2289, 2507, 7521, 17549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52637 and 52647. The biggest common factor number is the GCF number.
So the greatest common factor 52637 and 52647 is 1.

Also check out the Least Common Multiple of 52637 and 52647