What is the Greatest Common Factor of 23625 and 23642?

Greatest common factor (GCF) of 23625 and 23642 is 1.

GCF(23625,23642) = 1

We will now calculate the prime factors of 23625 and 23642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23625 and 23642.

How to find the GCF of 23625 and 23642?

We will first find the prime factorization of 23625 and 23642. After we will calculate the factors of 23625 and 23642 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 23642

Prime factors of 23642 are 2, 11821. Prime factorization of 23642 in exponential form is:

23642 = 2¹ × 11821¹

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 23642

List of positive integer factors of 23642 that divides 23625 without a remainder.

1, 2, 11821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23625 and 23642. The biggest common factor number is the GCF number.
So the greatest common factor 23625 and 23642 is 1.

Also check out the Least Common Multiple of 23625 and 23642