What is the Greatest Common Factor of 25782 and 25788?

Greatest common factor (GCF) of 25782 and 25788 is 6.

GCF(25782,25788) = 6

We will now calculate the prime factors of 25782 and 25788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25782 and 25788.

How to find the GCF of 25782 and 25788?

We will first find the prime factorization of 25782 and 25788. After we will calculate the factors of 25782 and 25788 and find the biggest common factor number .

Step-1: Prime Factorization of 25782

Prime factors of 25782 are 2, 3, 4297. Prime factorization of 25782 in exponential form is:

25782 = 2¹ × 3¹ × 4297¹

Step-2: Prime Factorization of 25788

Prime factors of 25788 are 2, 3, 7, 307. Prime factorization of 25788 in exponential form is:

25788 = 2² × 3¹ × 7¹ × 307¹

Step-3: Factors of 25782

List of positive integer factors of 25782 that divides 25782 without a remainder.

1, 2, 3, 6, 4297, 8594, 12891

Step-4: Factors of 25788

List of positive integer factors of 25788 that divides 25782 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 307, 614, 921, 1228, 1842, 2149, 3684, 4298, 6447, 8596, 12894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25782 and 25788. The biggest common factor number is the GCF number.
So the greatest common factor 25782 and 25788 is 6.

Also check out the Least Common Multiple of 25782 and 25788