What is the Greatest Common Factor of 8652 and 8672?

Greatest common factor (GCF) of 8652 and 8672 is 4.

GCF(8652,8672) = 4

We will now calculate the prime factors of 8652 and 8672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8652 and 8672.

How to find the GCF of 8652 and 8672?

We will first find the prime factorization of 8652 and 8672. After we will calculate the factors of 8652 and 8672 and find the biggest common factor number .

Step-1: Prime Factorization of 8652

Prime factors of 8652 are 2, 3, 7, 103. Prime factorization of 8652 in exponential form is:

8652 = 2² × 3¹ × 7¹ × 103¹

Step-2: Prime Factorization of 8672

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

8672 = 2⁵ × 271¹

Step-3: Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326

Step-4: Factors of 8672

List of positive integer factors of 8672 that divides 8652 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8652 and 8672. The biggest common factor number is the GCF number.
So the greatest common factor 8652 and 8672 is 4.

Also check out the Least Common Multiple of 8652 and 8672