What is the Greatest Common Factor of 25671 and 25686?

Greatest common factor (GCF) of 25671 and 25686 is 3.

GCF(25671,25686) = 3

We will now calculate the prime factors of 25671 and 25686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25671 and 25686.

How to find the GCF of 25671 and 25686?

We will first find the prime factorization of 25671 and 25686. After we will calculate the factors of 25671 and 25686 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25686

Prime factors of 25686 are 2, 3, 1427. Prime factorization of 25686 in exponential form is:

25686 = 2¹ × 3² × 1427¹

Step-3: Factors of 25671

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

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

Step-4: Factors of 25686

List of positive integer factors of 25686 that divides 25671 without a remainder.

1, 2, 3, 6, 9, 18, 1427, 2854, 4281, 8562, 12843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25671 and 25686. The biggest common factor number is the GCF number.
So the greatest common factor 25671 and 25686 is 3.

Also check out the Least Common Multiple of 25671 and 25686