What is the Greatest Common Factor of 25812 and 25826?

Greatest common factor (GCF) of 25812 and 25826 is 2.

GCF(25812,25826) = 2

We will now calculate the prime factors of 25812 and 25826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25812 and 25826.

How to find the GCF of 25812 and 25826?

We will first find the prime factorization of 25812 and 25826. After we will calculate the factors of 25812 and 25826 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25826

Prime factors of 25826 are 2, 37, 349. Prime factorization of 25826 in exponential form is:

25826 = 2¹ × 37¹ × 349¹

Step-3: Factors of 25812

List of positive integer factors of 25812 that divides 25812 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

Step-4: Factors of 25826

List of positive integer factors of 25826 that divides 25812 without a remainder.

1, 2, 37, 74, 349, 698, 12913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25812 and 25826. The biggest common factor number is the GCF number.
So the greatest common factor 25812 and 25826 is 2.

Also check out the Least Common Multiple of 25812 and 25826