What is the Greatest Common Factor of 24954 and 24964?

Greatest common factor (GCF) of 24954 and 24964 is 2.

GCF(24954,24964) = 2

We will now calculate the prime factors of 24954 and 24964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24954 and 24964.

How to find the GCF of 24954 and 24964?

We will first find the prime factorization of 24954 and 24964. After we will calculate the factors of 24954 and 24964 and find the biggest common factor number .

Step-1: Prime Factorization of 24954

Prime factors of 24954 are 2, 3, 4159. Prime factorization of 24954 in exponential form is:

24954 = 2¹ × 3¹ × 4159¹

Step-2: Prime Factorization of 24964

Prime factors of 24964 are 2, 79. Prime factorization of 24964 in exponential form is:

24964 = 2² × 79²

Step-3: Factors of 24954

List of positive integer factors of 24954 that divides 24954 without a remainder.

1, 2, 3, 6, 4159, 8318, 12477

Step-4: Factors of 24964

List of positive integer factors of 24964 that divides 24954 without a remainder.

1, 2, 4, 79, 158, 316, 6241, 12482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24954 and 24964. The biggest common factor number is the GCF number.
So the greatest common factor 24954 and 24964 is 2.

Also check out the Least Common Multiple of 24954 and 24964