What is the Greatest Common Factor of 22633 and 22646?

Greatest common factor (GCF) of 22633 and 22646 is 13.

GCF(22633,22646) = 13

We will now calculate the prime factors of 22633 and 22646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22633 and 22646.

How to find the GCF of 22633 and 22646?

We will first find the prime factorization of 22633 and 22646. After we will calculate the factors of 22633 and 22646 and find the biggest common factor number .

Step-1: Prime Factorization of 22633

Prime factors of 22633 are 13, 1741. Prime factorization of 22633 in exponential form is:

22633 = 13¹ × 1741¹

Step-2: 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-3: Factors of 22633

List of positive integer factors of 22633 that divides 22633 without a remainder.

1, 13, 1741

Step-4: Factors of 22646

List of positive integer factors of 22646 that divides 22633 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22633 and 22646. The biggest common factor number is the GCF number.
So the greatest common factor 22633 and 22646 is 13.

Also check out the Least Common Multiple of 22633 and 22646