What is the Greatest Common Factor of 22600 and 22615?

Greatest common factor (GCF) of 22600 and 22615 is 5.

GCF(22600,22615) = 5

We will now calculate the prime factors of 22600 and 22615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22600 and 22615.

How to find the GCF of 22600 and 22615?

We will first find the prime factorization of 22600 and 22615. After we will calculate the factors of 22600 and 22615 and find the biggest common factor number .

Step-1: Prime Factorization of 22600

Prime factors of 22600 are 2, 5, 113. Prime factorization of 22600 in exponential form is:

22600 = 2³ × 5² × 113¹

Step-2: Prime Factorization of 22615

Prime factors of 22615 are 5, 4523. Prime factorization of 22615 in exponential form is:

22615 = 5¹ × 4523¹

Step-3: Factors of 22600

List of positive integer factors of 22600 that divides 22600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 113, 200, 226, 452, 565, 904, 1130, 2260, 2825, 4520, 5650, 11300

Step-4: Factors of 22615

List of positive integer factors of 22615 that divides 22600 without a remainder.

1, 5, 4523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22600 and 22615. The biggest common factor number is the GCF number.
So the greatest common factor 22600 and 22615 is 5.

Also check out the Least Common Multiple of 22600 and 22615