What is the Greatest Common Factor of 23613 and 23625?

Greatest common factor (GCF) of 23613 and 23625 is 3.

GCF(23613,23625) = 3

We will now calculate the prime factors of 23613 and 23625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23613 and 23625.

How to find the GCF of 23613 and 23625?

We will first find the prime factorization of 23613 and 23625. After we will calculate the factors of 23613 and 23625 and find the biggest common factor number .

Step-1: Prime Factorization of 23613

Prime factors of 23613 are 3, 17, 463. Prime factorization of 23613 in exponential form is:

23613 = 3¹ × 17¹ × 463¹

Step-2: 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-3: Factors of 23613

List of positive integer factors of 23613 that divides 23613 without a remainder.

1, 3, 17, 51, 463, 1389, 7871

Step-4: Factors of 23625

List of positive integer factors of 23625 that divides 23613 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23613 and 23625. The biggest common factor number is the GCF number.
So the greatest common factor 23613 and 23625 is 3.

Also check out the Least Common Multiple of 23613 and 23625