What is the Greatest Common Factor of 24508 and 24514?

Greatest common factor (GCF) of 24508 and 24514 is 2.

GCF(24508,24514) = 2

We will now calculate the prime factors of 24508 and 24514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24508 and 24514.

How to find the GCF of 24508 and 24514?

We will first find the prime factorization of 24508 and 24514. After we will calculate the factors of 24508 and 24514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24514

Prime factors of 24514 are 2, 7, 17, 103. Prime factorization of 24514 in exponential form is:

24514 = 2¹ × 7¹ × 17¹ × 103¹

Step-3: Factors of 24508

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

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

Step-4: Factors of 24514

List of positive integer factors of 24514 that divides 24508 without a remainder.

1, 2, 7, 14, 17, 34, 103, 119, 206, 238, 721, 1442, 1751, 3502, 12257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24508 and 24514. The biggest common factor number is the GCF number.
So the greatest common factor 24508 and 24514 is 2.

Also check out the Least Common Multiple of 24508 and 24514