What is the Greatest Common Factor of 22647 and 22659?

Greatest common factor (GCF) of 22647 and 22659 is 3.

GCF(22647,22659) = 3

We will now calculate the prime factors of 22647 and 22659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22647 and 22659.

How to find the GCF of 22647 and 22659?

We will first find the prime factorization of 22647 and 22659. After we will calculate the factors of 22647 and 22659 and find the biggest common factor number .

Step-1: Prime Factorization of 22647

Prime factors of 22647 are 3, 7549. Prime factorization of 22647 in exponential form is:

22647 = 3¹ × 7549¹

Step-2: Prime Factorization of 22659

Prime factors of 22659 are 3, 7, 13, 83. Prime factorization of 22659 in exponential form is:

22659 = 3¹ × 7¹ × 13¹ × 83¹

Step-3: Factors of 22647

List of positive integer factors of 22647 that divides 22647 without a remainder.

1, 3, 7549

Step-4: Factors of 22659

List of positive integer factors of 22659 that divides 22647 without a remainder.

1, 3, 7, 13, 21, 39, 83, 91, 249, 273, 581, 1079, 1743, 3237, 7553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22647 and 22659. The biggest common factor number is the GCF number.
So the greatest common factor 22647 and 22659 is 3.

Also check out the Least Common Multiple of 22647 and 22659