What is the Greatest Common Factor of 25798 and 25812?

Greatest common factor (GCF) of 25798 and 25812 is 2.

GCF(25798,25812) = 2

We will now calculate the prime factors of 25798 and 25812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25798 and 25812.

How to find the GCF of 25798 and 25812?

We will first find the prime factorization of 25798 and 25812. After we will calculate the factors of 25798 and 25812 and find the biggest common factor number .

Step-1: Prime Factorization of 25798

Prime factors of 25798 are 2, 12899. Prime factorization of 25798 in exponential form is:

25798 = 2¹ × 12899¹

Step-2: Prime Factorization of 25812

Prime factors of 25812 are 2, 3, 239. Prime factorization of 25812 in exponential form is:

25812 = 2² × 3³ × 239¹

Step-3: Factors of 25798

List of positive integer factors of 25798 that divides 25798 without a remainder.

1, 2, 12899

Step-4: Factors of 25812

List of positive integer factors of 25812 that divides 25798 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 6453, 8604, 12906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25798 and 25812. The biggest common factor number is the GCF number.
So the greatest common factor 25798 and 25812 is 2.

Also check out the Least Common Multiple of 25798 and 25812