What is the Greatest Common Factor of 24958 and 24964?

Greatest common factor (GCF) of 24958 and 24964 is 2.

GCF(24958,24964) = 2

We will now calculate the prime factors of 24958 and 24964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24958 and 24964.

How to find the GCF of 24958 and 24964?

We will first find the prime factorization of 24958 and 24964. After we will calculate the factors of 24958 and 24964 and find the biggest common factor number .

Step-1: Prime Factorization of 24958

Prime factors of 24958 are 2, 12479. Prime factorization of 24958 in exponential form is:

24958 = 2¹ × 12479¹

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 24958

List of positive integer factors of 24958 that divides 24958 without a remainder.

1, 2, 12479

Step-4: Factors of 24964

List of positive integer factors of 24964 that divides 24958 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 24958 and 24964. The biggest common factor number is the GCF number.
So the greatest common factor 24958 and 24964 is 2.

Also check out the Least Common Multiple of 24958 and 24964