What is the Greatest Common Factor of 25527 and 25539?

Greatest common factor (GCF) of 25527 and 25539 is 3.

GCF(25527,25539) = 3

We will now calculate the prime factors of 25527 and 25539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25527 and 25539.

How to find the GCF of 25527 and 25539?

We will first find the prime factorization of 25527 and 25539. After we will calculate the factors of 25527 and 25539 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25539

Prime factors of 25539 are 3, 8513. Prime factorization of 25539 in exponential form is:

25539 = 3¹ × 8513¹

Step-3: Factors of 25527

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

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

Step-4: Factors of 25539

List of positive integer factors of 25539 that divides 25527 without a remainder.

1, 3, 8513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25527 and 25539. The biggest common factor number is the GCF number.
So the greatest common factor 25527 and 25539 is 3.

Also check out the Least Common Multiple of 25527 and 25539