What is the Greatest Common Factor of 24638 and 24646?

Greatest common factor (GCF) of 24638 and 24646 is 2.

GCF(24638,24646) = 2

We will now calculate the prime factors of 24638 and 24646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24638 and 24646.

How to find the GCF of 24638 and 24646?

We will first find the prime factorization of 24638 and 24646. After we will calculate the factors of 24638 and 24646 and find the biggest common factor number .

Step-1: Prime Factorization of 24638

Prime factors of 24638 are 2, 97, 127. Prime factorization of 24638 in exponential form is:

24638 = 2¹ × 97¹ × 127¹

Step-2: Prime Factorization of 24646

Prime factors of 24646 are 2, 12323. Prime factorization of 24646 in exponential form is:

24646 = 2¹ × 12323¹

Step-3: Factors of 24638

List of positive integer factors of 24638 that divides 24638 without a remainder.

1, 2, 97, 127, 194, 254, 12319

Step-4: Factors of 24646

List of positive integer factors of 24646 that divides 24638 without a remainder.

1, 2, 12323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24638 and 24646. The biggest common factor number is the GCF number.
So the greatest common factor 24638 and 24646 is 2.

Also check out the Least Common Multiple of 24638 and 24646