What is the Greatest Common Factor of 23625 and 23641?

Greatest common factor (GCF) of 23625 and 23641 is 1.

GCF(23625,23641) = 1

We will now calculate the prime factors of 23625 and 23641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23625 and 23641.

How to find the GCF of 23625 and 23641?

We will first find the prime factorization of 23625 and 23641. After we will calculate the factors of 23625 and 23641 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 23641

Prime factors of 23641 are 47, 503. Prime factorization of 23641 in exponential form is:

23641 = 47¹ × 503¹

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 23641

List of positive integer factors of 23641 that divides 23625 without a remainder.

1, 47, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23625 and 23641. The biggest common factor number is the GCF number.
So the greatest common factor 23625 and 23641 is 1.

Also check out the Least Common Multiple of 23625 and 23641