What is the Greatest Common Factor of 23625 and 23631?

Greatest common factor (GCF) of 23625 and 23631 is 3.

GCF(23625,23631) = 3

We will now calculate the prime factors of 23625 and 23631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23625 and 23631.

How to find the GCF of 23625 and 23631?

We will first find the prime factorization of 23625 and 23631. After we will calculate the factors of 23625 and 23631 and find the biggest common factor number .

Step-1: Prime Factorization of 23625

Prime factors of 23625 are 3, 5, 7. Prime factorization of 23625 in exponential form is:

23625 = 3³ × 5³ × 7¹

Step-2: Prime Factorization of 23631

Prime factors of 23631 are 3, 7877. Prime factorization of 23631 in exponential form is:

23631 = 3¹ × 7877¹

Step-3: Factors of 23625

List of positive integer factors of 23625 that divides 23625 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 125, 135, 175, 189, 225, 315, 375, 525, 675, 875, 945, 1125, 1575, 2625, 3375, 4725, 7875

Step-4: Factors of 23631

List of positive integer factors of 23631 that divides 23625 without a remainder.

1, 3, 7877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23625 and 23631. The biggest common factor number is the GCF number.
So the greatest common factor 23625 and 23631 is 3.

Also check out the Least Common Multiple of 23625 and 23631