What is the Greatest Common Factor of 8652 and 8656?

Greatest common factor (GCF) of 8652 and 8656 is 4.

GCF(8652,8656) = 4

We will now calculate the prime factors of 8652 and 8656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8652 and 8656.

How to find the GCF of 8652 and 8656?

We will first find the prime factorization of 8652 and 8656. After we will calculate the factors of 8652 and 8656 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 8656

Prime factors of 8656 are 2, 541. Prime factorization of 8656 in exponential form is:

8656 = 2⁴ × 541¹

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 8656

List of positive integer factors of 8656 that divides 8652 without a remainder.

1, 2, 4, 8, 16, 541, 1082, 2164, 4328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8652 and 8656. The biggest common factor number is the GCF number.
So the greatest common factor 8652 and 8656 is 4.

Also check out the Least Common Multiple of 8652 and 8656