What is the Greatest Common Factor of 24634 and 24647?

Greatest common factor (GCF) of 24634 and 24647 is 1.

GCF(24634,24647) = 1

We will now calculate the prime factors of 24634 and 24647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24634 and 24647.

How to find the GCF of 24634 and 24647?

We will first find the prime factorization of 24634 and 24647. After we will calculate the factors of 24634 and 24647 and find the biggest common factor number .

Step-1: Prime Factorization of 24634

Prime factors of 24634 are 2, 109, 113. Prime factorization of 24634 in exponential form is:

24634 = 2¹ × 109¹ × 113¹

Step-2: Prime Factorization of 24647

Prime factors of 24647 are 7, 503. Prime factorization of 24647 in exponential form is:

24647 = 7² × 503¹

Step-3: Factors of 24634

List of positive integer factors of 24634 that divides 24634 without a remainder.

1, 2, 109, 113, 218, 226, 12317

Step-4: Factors of 24647

List of positive integer factors of 24647 that divides 24634 without a remainder.

1, 7, 49, 503, 3521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24634 and 24647. The biggest common factor number is the GCF number.
So the greatest common factor 24634 and 24647 is 1.

Also check out the Least Common Multiple of 24634 and 24647