What is the Greatest Common Factor of 24502 and 24508?

Greatest common factor (GCF) of 24502 and 24508 is 2.

GCF(24502,24508) = 2

We will now calculate the prime factors of 24502 and 24508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24502 and 24508.

How to find the GCF of 24502 and 24508?

We will first find the prime factorization of 24502 and 24508. After we will calculate the factors of 24502 and 24508 and find the biggest common factor number .

Step-1: Prime Factorization of 24502

Prime factors of 24502 are 2, 12251. Prime factorization of 24502 in exponential form is:

24502 = 2¹ × 12251¹

Step-2: Prime Factorization of 24508

Prime factors of 24508 are 2, 11, 557. Prime factorization of 24508 in exponential form is:

24508 = 2² × 11¹ × 557¹

Step-3: Factors of 24502

List of positive integer factors of 24502 that divides 24502 without a remainder.

1, 2, 12251

Step-4: Factors of 24508

List of positive integer factors of 24508 that divides 24502 without a remainder.

1, 2, 4, 11, 22, 44, 557, 1114, 2228, 6127, 12254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24502 and 24508. The biggest common factor number is the GCF number.
So the greatest common factor 24502 and 24508 is 2.

Also check out the Least Common Multiple of 24502 and 24508