What is the Greatest Common Factor of 25665 and 25671?

Greatest common factor (GCF) of 25665 and 25671 is 3.

GCF(25665,25671) = 3

We will now calculate the prime factors of 25665 and 25671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25665 and 25671.

How to find the GCF of 25665 and 25671?

We will first find the prime factorization of 25665 and 25671. After we will calculate the factors of 25665 and 25671 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25671

Prime factors of 25671 are 3, 43, 199. Prime factorization of 25671 in exponential form is:

25671 = 3¹ × 43¹ × 199¹

Step-3: Factors of 25665

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

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

Step-4: Factors of 25671

List of positive integer factors of 25671 that divides 25665 without a remainder.

1, 3, 43, 129, 199, 597, 8557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25665 and 25671. The biggest common factor number is the GCF number.
So the greatest common factor 25665 and 25671 is 3.

Also check out the Least Common Multiple of 25665 and 25671