What is the Greatest Common Factor of 24131 and 24147?

Greatest common factor (GCF) of 24131 and 24147 is 1.

GCF(24131,24147) = 1

We will now calculate the prime factors of 24131 and 24147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24131 and 24147.

How to find the GCF of 24131 and 24147?

We will first find the prime factorization of 24131 and 24147. After we will calculate the factors of 24131 and 24147 and find the biggest common factor number .

Step-1: Prime Factorization of 24131

Prime factors of 24131 are 59, 409. Prime factorization of 24131 in exponential form is:

24131 = 59¹ × 409¹

Step-2: Prime Factorization of 24147

Prime factors of 24147 are 3, 2683. Prime factorization of 24147 in exponential form is:

24147 = 3² × 2683¹

Step-3: Factors of 24131

List of positive integer factors of 24131 that divides 24131 without a remainder.

1, 59, 409

Step-4: Factors of 24147

List of positive integer factors of 24147 that divides 24131 without a remainder.

1, 3, 9, 2683, 8049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24131 and 24147. The biggest common factor number is the GCF number.
So the greatest common factor 24131 and 24147 is 1.

Also check out the Least Common Multiple of 24131 and 24147