What is the Greatest Common Factor of 25670 and 25678?

Greatest common factor (GCF) of 25670 and 25678 is 2.

GCF(25670,25678) = 2

We will now calculate the prime factors of 25670 and 25678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25670 and 25678.

How to find the GCF of 25670 and 25678?

We will first find the prime factorization of 25670 and 25678. After we will calculate the factors of 25670 and 25678 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 25678

Prime factors of 25678 are 2, 37, 347. Prime factorization of 25678 in exponential form is:

25678 = 2¹ × 37¹ × 347¹

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 25678

List of positive integer factors of 25678 that divides 25670 without a remainder.

1, 2, 37, 74, 347, 694, 12839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25670 and 25678. The biggest common factor number is the GCF number.
So the greatest common factor 25670 and 25678 is 2.

Also check out the Least Common Multiple of 25670 and 25678