What is the Greatest Common Factor of 25956 and 25962?

Greatest common factor (GCF) of 25956 and 25962 is 6.

GCF(25956,25962) = 6

We will now calculate the prime factors of 25956 and 25962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25956 and 25962.

How to find the GCF of 25956 and 25962?

We will first find the prime factorization of 25956 and 25962. After we will calculate the factors of 25956 and 25962 and find the biggest common factor number .

Step-1: Prime Factorization of 25956

Prime factors of 25956 are 2, 3, 7, 103. Prime factorization of 25956 in exponential form is:

25956 = 2² × 3² × 7¹ × 103¹

Step-2: Prime Factorization of 25962

Prime factors of 25962 are 2, 3, 4327. Prime factorization of 25962 in exponential form is:

25962 = 2¹ × 3¹ × 4327¹

Step-3: Factors of 25956

List of positive integer factors of 25956 that divides 25956 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 103, 126, 206, 252, 309, 412, 618, 721, 927, 1236, 1442, 1854, 2163, 2884, 3708, 4326, 6489, 8652, 12978

Step-4: Factors of 25962

List of positive integer factors of 25962 that divides 25956 without a remainder.

1, 2, 3, 6, 4327, 8654, 12981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25956 and 25962. The biggest common factor number is the GCF number.
So the greatest common factor 25956 and 25962 is 6.

Also check out the Least Common Multiple of 25956 and 25962