What is the Greatest Common Factor of 24516 and 24529?

Greatest common factor (GCF) of 24516 and 24529 is 1.

GCF(24516,24529) = 1

We will now calculate the prime factors of 24516 and 24529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24516 and 24529.

How to find the GCF of 24516 and 24529?

We will first find the prime factorization of 24516 and 24529. After we will calculate the factors of 24516 and 24529 and find the biggest common factor number .

Step-1: Prime Factorization of 24516

Prime factors of 24516 are 2, 3, 227. Prime factorization of 24516 in exponential form is:

24516 = 2² × 3³ × 227¹

Step-2: Prime Factorization of 24529

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

24529 = 19¹ × 1291¹

Step-3: Factors of 24516

List of positive integer factors of 24516 that divides 24516 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 6129, 8172, 12258

Step-4: Factors of 24529

List of positive integer factors of 24529 that divides 24516 without a remainder.

1, 19, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24516 and 24529. The biggest common factor number is the GCF number.
So the greatest common factor 24516 and 24529 is 1.

Also check out the Least Common Multiple of 24516 and 24529