What is the Greatest Common Factor of 24634 and 24641?

Greatest common factor (GCF) of 24634 and 24641 is 1.

GCF(24634,24641) = 1

We will now calculate the prime factors of 24634 and 24641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24634 and 24641.

How to find the GCF of 24634 and 24641?

We will first find the prime factorization of 24634 and 24641. After we will calculate the factors of 24634 and 24641 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 24641

Prime factors of 24641 are 41, 601. Prime factorization of 24641 in exponential form is:

24641 = 41¹ × 601¹

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 24641

List of positive integer factors of 24641 that divides 24634 without a remainder.

1, 41, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24634 and 24641. The biggest common factor number is the GCF number.
So the greatest common factor 24634 and 24641 is 1.

Also check out the Least Common Multiple of 24634 and 24641