What is the Greatest Common Factor of 8672 and 8680?

Greatest common factor (GCF) of 8672 and 8680 is 8.

GCF(8672,8680) = 8

We will now calculate the prime factors of 8672 and 8680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8672 and 8680.

How to find the GCF of 8672 and 8680?

We will first find the prime factorization of 8672 and 8680. After we will calculate the factors of 8672 and 8680 and find the biggest common factor number .

Step-1: Prime Factorization of 8672

Prime factors of 8672 are 2, 271. Prime factorization of 8672 in exponential form is:

8672 = 2⁵ × 271¹

Step-2: Prime Factorization of 8680

Prime factors of 8680 are 2, 5, 7, 31. Prime factorization of 8680 in exponential form is:

8680 = 2³ × 5¹ × 7¹ × 31¹

Step-3: Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336

Step-4: Factors of 8680

List of positive integer factors of 8680 that divides 8672 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8672 and 8680. The biggest common factor number is the GCF number.
So the greatest common factor 8672 and 8680 is 8.

Also check out the Least Common Multiple of 8672 and 8680