What is the Greatest Common Factor of 25659 and 25665?

Greatest common factor (GCF) of 25659 and 25665 is 3.

GCF(25659,25665) = 3

We will now calculate the prime factors of 25659 and 25665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25659 and 25665.

How to find the GCF of 25659 and 25665?

We will first find the prime factorization of 25659 and 25665. After we will calculate the factors of 25659 and 25665 and find the biggest common factor number .

Step-1: Prime Factorization of 25659

Prime factors of 25659 are 3, 2851. Prime factorization of 25659 in exponential form is:

25659 = 3² × 2851¹

Step-2: Prime Factorization of 25665

Prime factors of 25665 are 3, 5, 29, 59. Prime factorization of 25665 in exponential form is:

25665 = 3¹ × 5¹ × 29¹ × 59¹

Step-3: Factors of 25659

List of positive integer factors of 25659 that divides 25659 without a remainder.

1, 3, 9, 2851, 8553

Step-4: Factors of 25665

List of positive integer factors of 25665 that divides 25659 without a remainder.

1, 3, 5, 15, 29, 59, 87, 145, 177, 295, 435, 885, 1711, 5133, 8555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25659 and 25665. The biggest common factor number is the GCF number.
So the greatest common factor 25659 and 25665 is 3.

Also check out the Least Common Multiple of 25659 and 25665