What is the Greatest Common Factor of 32352 and 32356?

Greatest common factor (GCF) of 32352 and 32356 is 4.

GCF(32352,32356) = 4

We will now calculate the prime factors of 32352 and 32356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32352 and 32356.

How to find the GCF of 32352 and 32356?

We will first find the prime factorization of 32352 and 32356. After we will calculate the factors of 32352 and 32356 and find the biggest common factor number .

Step-1: Prime Factorization of 32352

Prime factors of 32352 are 2, 3, 337. Prime factorization of 32352 in exponential form is:

32352 = 2⁵ × 3¹ × 337¹

Step-2: Prime Factorization of 32356

Prime factors of 32356 are 2, 8089. Prime factorization of 32356 in exponential form is:

32356 = 2² × 8089¹

Step-3: Factors of 32352

List of positive integer factors of 32352 that divides 32352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088, 10784, 16176

Step-4: Factors of 32356

List of positive integer factors of 32356 that divides 32352 without a remainder.

1, 2, 4, 8089, 16178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32352 and 32356. The biggest common factor number is the GCF number.
So the greatest common factor 32352 and 32356 is 4.

Also check out the Least Common Multiple of 32352 and 32356