What is the Greatest Common Factor of 22646 and 22659?

Greatest common factor (GCF) of 22646 and 22659 is 13.

GCF(22646,22659) = 13

We will now calculate the prime factors of 22646 and 22659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22646 and 22659.

How to find the GCF of 22646 and 22659?

We will first find the prime factorization of 22646 and 22659. After we will calculate the factors of 22646 and 22659 and find the biggest common factor number .

Step-1: Prime Factorization of 22646

Prime factors of 22646 are 2, 13, 67. Prime factorization of 22646 in exponential form is:

22646 = 2¹ × 13² × 67¹

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 22646

List of positive integer factors of 22646 that divides 22646 without a remainder.

1, 2, 13, 26, 67, 134, 169, 338, 871, 1742, 11323

Step-4: Factors of 22659

List of positive integer factors of 22659 that divides 22646 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 22646 and 22659. The biggest common factor number is the GCF number.
So the greatest common factor 22646 and 22659 is 13.

Also check out the Least Common Multiple of 22646 and 22659