What is the Greatest Common Factor of 24437 and 24456?

Greatest common factor (GCF) of 24437 and 24456 is 1.

GCF(24437,24456) = 1

We will now calculate the prime factors of 24437 and 24456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24437 and 24456.

How to find the GCF of 24437 and 24456?

We will first find the prime factorization of 24437 and 24456. After we will calculate the factors of 24437 and 24456 and find the biggest common factor number .

Step-1: Prime Factorization of 24437

Prime factors of 24437 are 7, 3491. Prime factorization of 24437 in exponential form is:

24437 = 7¹ × 3491¹

Step-2: Prime Factorization of 24456

Prime factors of 24456 are 2, 3, 1019. Prime factorization of 24456 in exponential form is:

24456 = 2³ × 3¹ × 1019¹

Step-3: Factors of 24437

List of positive integer factors of 24437 that divides 24437 without a remainder.

1, 7, 3491

Step-4: Factors of 24456

List of positive integer factors of 24456 that divides 24437 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1019, 2038, 3057, 4076, 6114, 8152, 12228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24437 and 24456. The biggest common factor number is the GCF number.
So the greatest common factor 24437 and 24456 is 1.

Also check out the Least Common Multiple of 24437 and 24456