What is the Greatest Common Factor of 24628 and 24634?

Greatest common factor (GCF) of 24628 and 24634 is 2.

GCF(24628,24634) = 2

We will now calculate the prime factors of 24628 and 24634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24628 and 24634.

How to find the GCF of 24628 and 24634?

We will first find the prime factorization of 24628 and 24634. After we will calculate the factors of 24628 and 24634 and find the biggest common factor number .

Step-1: Prime Factorization of 24628

Prime factors of 24628 are 2, 47, 131. Prime factorization of 24628 in exponential form is:

24628 = 2² × 47¹ × 131¹

Step-2: 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-3: Factors of 24628

List of positive integer factors of 24628 that divides 24628 without a remainder.

1, 2, 4, 47, 94, 131, 188, 262, 524, 6157, 12314

Step-4: Factors of 24634

List of positive integer factors of 24634 that divides 24628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24628 and 24634. The biggest common factor number is the GCF number.
So the greatest common factor 24628 and 24634 is 2.

Also check out the Least Common Multiple of 24628 and 24634