What is the Greatest Common Factor of 22659 and 22677?

Greatest common factor (GCF) of 22659 and 22677 is 3.

GCF(22659,22677) = 3

We will now calculate the prime factors of 22659 and 22677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22659 and 22677.

How to find the GCF of 22659 and 22677?

We will first find the prime factorization of 22659 and 22677. After we will calculate the factors of 22659 and 22677 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22677

Prime factors of 22677 are 3, 7559. Prime factorization of 22677 in exponential form is:

22677 = 3¹ × 7559¹

Step-3: Factors of 22659

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

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

Step-4: Factors of 22677

List of positive integer factors of 22677 that divides 22659 without a remainder.

1, 3, 7559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22659 and 22677. The biggest common factor number is the GCF number.
So the greatest common factor 22659 and 22677 is 3.

Also check out the Least Common Multiple of 22659 and 22677