What is the Greatest Common Factor of 24964 and 24970?

Greatest common factor (GCF) of 24964 and 24970 is 2.

GCF(24964,24970) = 2

We will now calculate the prime factors of 24964 and 24970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24964 and 24970.

How to find the GCF of 24964 and 24970?

We will first find the prime factorization of 24964 and 24970. After we will calculate the factors of 24964 and 24970 and find the biggest common factor number .

Step-1: Prime Factorization of 24964

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

24964 = 2² × 79²

Step-2: Prime Factorization of 24970

Prime factors of 24970 are 2, 5, 11, 227. Prime factorization of 24970 in exponential form is:

24970 = 2¹ × 5¹ × 11¹ × 227¹

Step-3: Factors of 24964

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

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

Step-4: Factors of 24970

List of positive integer factors of 24970 that divides 24964 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 227, 454, 1135, 2270, 2497, 4994, 12485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24964 and 24970. The biggest common factor number is the GCF number.
So the greatest common factor 24964 and 24970 is 2.

Also check out the Least Common Multiple of 24964 and 24970