What is the Greatest Common Factor of 24626 and 24634?

Greatest common factor (GCF) of 24626 and 24634 is 2.

GCF(24626,24634) = 2

We will now calculate the prime factors of 24626 and 24634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24626 and 24634.

How to find the GCF of 24626 and 24634?

We will first find the prime factorization of 24626 and 24634. After we will calculate the factors of 24626 and 24634 and find the biggest common factor number .

Step-1: Prime Factorization of 24626

Prime factors of 24626 are 2, 7, 1759. Prime factorization of 24626 in exponential form is:

24626 = 2¹ × 7¹ × 1759¹

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 24626

List of positive integer factors of 24626 that divides 24626 without a remainder.

1, 2, 7, 14, 1759, 3518, 12313

Step-4: Factors of 24634

List of positive integer factors of 24634 that divides 24626 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24626 and 24634. The biggest common factor number is the GCF number.
So the greatest common factor 24626 and 24634 is 2.

Also check out the Least Common Multiple of 24626 and 24634