What is the Greatest Common Factor of 24959 and 24970?

Greatest common factor (GCF) of 24959 and 24970 is 11.

GCF(24959,24970) = 11

We will now calculate the prime factors of 24959 and 24970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24959 and 24970.

How to find the GCF of 24959 and 24970?

We will first find the prime factorization of 24959 and 24970. After we will calculate the factors of 24959 and 24970 and find the biggest common factor number .

Step-1: Prime Factorization of 24959

Prime factors of 24959 are 11, 2269. Prime factorization of 24959 in exponential form is:

24959 = 11¹ × 2269¹

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 24959

List of positive integer factors of 24959 that divides 24959 without a remainder.

1, 11, 2269

Step-4: Factors of 24970

List of positive integer factors of 24970 that divides 24959 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 24959 and 24970. The biggest common factor number is the GCF number.
So the greatest common factor 24959 and 24970 is 11.

Also check out the Least Common Multiple of 24959 and 24970