What is the Greatest Common Factor of 25512 and 25527?

Greatest common factor (GCF) of 25512 and 25527 is 3.

GCF(25512,25527) = 3

We will now calculate the prime factors of 25512 and 25527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25512 and 25527.

How to find the GCF of 25512 and 25527?

We will first find the prime factorization of 25512 and 25527. After we will calculate the factors of 25512 and 25527 and find the biggest common factor number .

Step-1: Prime Factorization of 25512

Prime factors of 25512 are 2, 3, 1063. Prime factorization of 25512 in exponential form is:

25512 = 2³ × 3¹ × 1063¹

Step-2: Prime Factorization of 25527

Prime factors of 25527 are 3, 67, 127. Prime factorization of 25527 in exponential form is:

25527 = 3¹ × 67¹ × 127¹

Step-3: Factors of 25512

List of positive integer factors of 25512 that divides 25512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1063, 2126, 3189, 4252, 6378, 8504, 12756

Step-4: Factors of 25527

List of positive integer factors of 25527 that divides 25512 without a remainder.

1, 3, 67, 127, 201, 381, 8509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25512 and 25527. The biggest common factor number is the GCF number.
So the greatest common factor 25512 and 25527 is 3.

Also check out the Least Common Multiple of 25512 and 25527