What is the Greatest Common Factor of 8352 and 8356?

Greatest common factor (GCF) of 8352 and 8356 is 4.

GCF(8352,8356) = 4

We will now calculate the prime factors of 8352 and 8356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8352 and 8356.

How to find the GCF of 8352 and 8356?

We will first find the prime factorization of 8352 and 8356. After we will calculate the factors of 8352 and 8356 and find the biggest common factor number .

Step-1: Prime Factorization of 8352

Prime factors of 8352 are 2, 3, 29. Prime factorization of 8352 in exponential form is:

8352 = 2⁵ × 3² × 29¹

Step-2: Prime Factorization of 8356

Prime factors of 8356 are 2, 2089. Prime factorization of 8356 in exponential form is:

8356 = 2² × 2089¹

Step-3: Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176

Step-4: Factors of 8356

List of positive integer factors of 8356 that divides 8352 without a remainder.

1, 2, 4, 2089, 4178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8352 and 8356. The biggest common factor number is the GCF number.
So the greatest common factor 8352 and 8356 is 4.

Also check out the Least Common Multiple of 8352 and 8356