What is the Greatest Common Factor of 25968 and 25983?

Greatest common factor (GCF) of 25968 and 25983 is 3.

GCF(25968,25983) = 3

We will now calculate the prime factors of 25968 and 25983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25968 and 25983.

How to find the GCF of 25968 and 25983?

We will first find the prime factorization of 25968 and 25983. After we will calculate the factors of 25968 and 25983 and find the biggest common factor number .

Step-1: Prime Factorization of 25968

Prime factors of 25968 are 2, 3, 541. Prime factorization of 25968 in exponential form is:

25968 = 2⁴ × 3¹ × 541¹

Step-2: Prime Factorization of 25983

Prime factors of 25983 are 3, 2887. Prime factorization of 25983 in exponential form is:

25983 = 3² × 2887¹

Step-3: Factors of 25968

List of positive integer factors of 25968 that divides 25968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 541, 1082, 1623, 2164, 3246, 4328, 6492, 8656, 12984

Step-4: Factors of 25983

List of positive integer factors of 25983 that divides 25968 without a remainder.

1, 3, 9, 2887, 8661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25968 and 25983. The biggest common factor number is the GCF number.
So the greatest common factor 25968 and 25983 is 3.

Also check out the Least Common Multiple of 25968 and 25983