What is the Greatest Common Factor of 52647 and 52665?

Greatest common factor (GCF) of 52647 and 52665 is 3.

GCF(52647,52665) = 3

We will now calculate the prime factors of 52647 and 52665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52647 and 52665.

How to find the GCF of 52647 and 52665?

We will first find the prime factorization of 52647 and 52665. After we will calculate the factors of 52647 and 52665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52665

Prime factors of 52665 are 3, 5, 3511. Prime factorization of 52665 in exponential form is:

52665 = 3¹ × 5¹ × 3511¹

Step-3: Factors of 52647

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

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

Step-4: Factors of 52665

List of positive integer factors of 52665 that divides 52647 without a remainder.

1, 3, 5, 15, 3511, 10533, 17555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52647 and 52665. The biggest common factor number is the GCF number.
So the greatest common factor 52647 and 52665 is 3.

Also check out the Least Common Multiple of 52647 and 52665