What is the Greatest Common Factor of 22675 and 22695?

Greatest common factor (GCF) of 22675 and 22695 is 5.

GCF(22675,22695) = 5

We will now calculate the prime factors of 22675 and 22695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22675 and 22695.

How to find the GCF of 22675 and 22695?

We will first find the prime factorization of 22675 and 22695. After we will calculate the factors of 22675 and 22695 and find the biggest common factor number .

Step-1: Prime Factorization of 22675

Prime factors of 22675 are 5, 907. Prime factorization of 22675 in exponential form is:

22675 = 5² × 907¹

Step-2: Prime Factorization of 22695

Prime factors of 22695 are 3, 5, 17, 89. Prime factorization of 22695 in exponential form is:

22695 = 3¹ × 5¹ × 17¹ × 89¹

Step-3: Factors of 22675

List of positive integer factors of 22675 that divides 22675 without a remainder.

1, 5, 25, 907, 4535

Step-4: Factors of 22695

List of positive integer factors of 22695 that divides 22675 without a remainder.

1, 3, 5, 15, 17, 51, 85, 89, 255, 267, 445, 1335, 1513, 4539, 7565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22675 and 22695. The biggest common factor number is the GCF number.
So the greatest common factor 22675 and 22695 is 5.

Also check out the Least Common Multiple of 22675 and 22695