What is the Greatest Common Factor of 8672 and 8688?

Greatest common factor (GCF) of 8672 and 8688 is 16.

GCF(8672,8688) = 16

We will now calculate the prime factors of 8672 and 8688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8672 and 8688.

How to find the GCF of 8672 and 8688?

We will first find the prime factorization of 8672 and 8688. After we will calculate the factors of 8672 and 8688 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 8688

Prime factors of 8688 are 2, 3, 181. Prime factorization of 8688 in exponential form is:

8688 = 2⁴ × 3¹ × 181¹

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 8688

List of positive integer factors of 8688 that divides 8672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8672 and 8688. The biggest common factor number is the GCF number.
So the greatest common factor 8672 and 8688 is 16.

Also check out the Least Common Multiple of 8672 and 8688