What is the Greatest Common Factor of 8628 and 8632?

Greatest common factor (GCF) of 8628 and 8632 is 4.

GCF(8628,8632) = 4

We will now calculate the prime factors of 8628 and 8632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8628 and 8632.

How to find the GCF of 8628 and 8632?

We will first find the prime factorization of 8628 and 8632. After we will calculate the factors of 8628 and 8632 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 8632

Prime factors of 8632 are 2, 13, 83. Prime factorization of 8632 in exponential form is:

8632 = 2³ × 13¹ × 83¹

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 8632

List of positive integer factors of 8632 that divides 8628 without a remainder.

1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8628 and 8632. The biggest common factor number is the GCF number.
So the greatest common factor 8628 and 8632 is 4.

Also check out the Least Common Multiple of 8628 and 8632