What is the Greatest Common Factor of 22617 and 22635?

Greatest common factor (GCF) of 22617 and 22635 is 9.

GCF(22617,22635) = 9

We will now calculate the prime factors of 22617 and 22635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22617 and 22635.

How to find the GCF of 22617 and 22635?

We will first find the prime factorization of 22617 and 22635. After we will calculate the factors of 22617 and 22635 and find the biggest common factor number .

Step-1: Prime Factorization of 22617

Prime factors of 22617 are 3, 7, 359. Prime factorization of 22617 in exponential form is:

22617 = 3² × 7¹ × 359¹

Step-2: Prime Factorization of 22635

Prime factors of 22635 are 3, 5, 503. Prime factorization of 22635 in exponential form is:

22635 = 3² × 5¹ × 503¹

Step-3: Factors of 22617

List of positive integer factors of 22617 that divides 22617 without a remainder.

1, 3, 7, 9, 21, 63, 359, 1077, 2513, 3231, 7539

Step-4: Factors of 22635

List of positive integer factors of 22635 that divides 22617 without a remainder.

1, 3, 5, 9, 15, 45, 503, 1509, 2515, 4527, 7545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22617 and 22635. The biggest common factor number is the GCF number.
So the greatest common factor 22617 and 22635 is 9.

Also check out the Least Common Multiple of 22617 and 22635