What is the Greatest Common Factor of 25670 and 25687?

Greatest common factor (GCF) of 25670 and 25687 is 17.

GCF(25670,25687) = 17

We will now calculate the prime factors of 25670 and 25687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25670 and 25687.

How to find the GCF of 25670 and 25687?

We will first find the prime factorization of 25670 and 25687. After we will calculate the factors of 25670 and 25687 and find the biggest common factor number .

Step-1: Prime Factorization of 25670

Prime factors of 25670 are 2, 5, 17, 151. Prime factorization of 25670 in exponential form is:

25670 = 2¹ × 5¹ × 17¹ × 151¹

Step-2: Prime Factorization of 25687

Prime factors of 25687 are 17, 1511. Prime factorization of 25687 in exponential form is:

25687 = 17¹ × 1511¹

Step-3: Factors of 25670

List of positive integer factors of 25670 that divides 25670 without a remainder.

1, 2, 5, 10, 17, 34, 85, 151, 170, 302, 755, 1510, 2567, 5134, 12835

Step-4: Factors of 25687

List of positive integer factors of 25687 that divides 25670 without a remainder.

1, 17, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25670 and 25687. The biggest common factor number is the GCF number.
So the greatest common factor 25670 and 25687 is 17.

Also check out the Least Common Multiple of 25670 and 25687