What is the Greatest Common Factor of 24529 and 24548?

Greatest common factor (GCF) of 24529 and 24548 is 19.

GCF(24529,24548) = 19

We will now calculate the prime factors of 24529 and 24548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24529 and 24548.

How to find the GCF of 24529 and 24548?

We will first find the prime factorization of 24529 and 24548. After we will calculate the factors of 24529 and 24548 and find the biggest common factor number .

Step-1: Prime Factorization of 24529

Prime factors of 24529 are 19, 1291. Prime factorization of 24529 in exponential form is:

24529 = 19¹ × 1291¹

Step-2: Prime Factorization of 24548

Prime factors of 24548 are 2, 17, 19. Prime factorization of 24548 in exponential form is:

24548 = 2² × 17¹ × 19²

Step-3: Factors of 24529

List of positive integer factors of 24529 that divides 24529 without a remainder.

1, 19, 1291

Step-4: Factors of 24548

List of positive integer factors of 24548 that divides 24529 without a remainder.

1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 361, 646, 722, 1292, 1444, 6137, 12274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24529 and 24548. The biggest common factor number is the GCF number.
So the greatest common factor 24529 and 24548 is 19.

Also check out the Least Common Multiple of 24529 and 24548