What is the Greatest Common Factor of 25599 and 25613?

Greatest common factor (GCF) of 25599 and 25613 is 7.

GCF(25599,25613) = 7

We will now calculate the prime factors of 25599 and 25613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25599 and 25613.

How to find the GCF of 25599 and 25613?

We will first find the prime factorization of 25599 and 25613. After we will calculate the factors of 25599 and 25613 and find the biggest common factor number .

Step-1: Prime Factorization of 25599

Prime factors of 25599 are 3, 7, 23, 53. Prime factorization of 25599 in exponential form is:

25599 = 3¹ × 7¹ × 23¹ × 53¹

Step-2: Prime Factorization of 25613

Prime factors of 25613 are 7, 3659. Prime factorization of 25613 in exponential form is:

25613 = 7¹ × 3659¹

Step-3: Factors of 25599

List of positive integer factors of 25599 that divides 25599 without a remainder.

1, 3, 7, 21, 23, 53, 69, 159, 161, 371, 483, 1113, 1219, 3657, 8533

Step-4: Factors of 25613

List of positive integer factors of 25613 that divides 25599 without a remainder.

1, 7, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25599 and 25613. The biggest common factor number is the GCF number.
So the greatest common factor 25599 and 25613 is 7.

Also check out the Least Common Multiple of 25599 and 25613