What is the Greatest Common Factor of 9628 and 9634?

Greatest common factor (GCF) of 9628 and 9634 is 2.

GCF(9628,9634) = 2

We will now calculate the prime factors of 9628 and 9634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9628 and 9634.

How to find the GCF of 9628 and 9634?

We will first find the prime factorization of 9628 and 9634. After we will calculate the factors of 9628 and 9634 and find the biggest common factor number .

Step-1: Prime Factorization of 9628

Prime factors of 9628 are 2, 29, 83. Prime factorization of 9628 in exponential form is:

9628 = 2² × 29¹ × 83¹

Step-2: Prime Factorization of 9634

Prime factors of 9634 are 2, 4817. Prime factorization of 9634 in exponential form is:

9634 = 2¹ × 4817¹

Step-3: Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814

Step-4: Factors of 9634

List of positive integer factors of 9634 that divides 9628 without a remainder.

1, 2, 4817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9628 and 9634. The biggest common factor number is the GCF number.
So the greatest common factor 9628 and 9634 is 2.

Also check out the Least Common Multiple of 9628 and 9634