What is the Greatest Common Factor of 25678 and 25684?

Greatest common factor (GCF) of 25678 and 25684 is 2.

GCF(25678,25684) = 2

We will now calculate the prime factors of 25678 and 25684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25678 and 25684.

How to find the GCF of 25678 and 25684?

We will first find the prime factorization of 25678 and 25684. After we will calculate the factors of 25678 and 25684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25684

Prime factors of 25684 are 2, 6421. Prime factorization of 25684 in exponential form is:

25684 = 2² × 6421¹

Step-3: Factors of 25678

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

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

Step-4: Factors of 25684

List of positive integer factors of 25684 that divides 25678 without a remainder.

1, 2, 4, 6421, 12842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25678 and 25684. The biggest common factor number is the GCF number.
So the greatest common factor 25678 and 25684 is 2.

Also check out the Least Common Multiple of 25678 and 25684