What is the Greatest Common Factor of 8628 and 8638?

Greatest common factor (GCF) of 8628 and 8638 is 2.

GCF(8628,8638) = 2

We will now calculate the prime factors of 8628 and 8638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8628 and 8638.

How to find the GCF of 8628 and 8638?

We will first find the prime factorization of 8628 and 8638. After we will calculate the factors of 8628 and 8638 and find the biggest common factor number .

Step-1: Prime Factorization of 8628

Prime factors of 8628 are 2, 3, 719. Prime factorization of 8628 in exponential form is:

8628 = 2² × 3¹ × 719¹

Step-2: Prime Factorization of 8638

Prime factors of 8638 are 2, 7, 617. Prime factorization of 8638 in exponential form is:

8638 = 2¹ × 7¹ × 617¹

Step-3: Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314

Step-4: Factors of 8638

List of positive integer factors of 8638 that divides 8628 without a remainder.

1, 2, 7, 14, 617, 1234, 4319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8628 and 8638. The biggest common factor number is the GCF number.
So the greatest common factor 8628 and 8638 is 2.

Also check out the Least Common Multiple of 8628 and 8638