What is the Greatest Common Factor of 32356 and 32360?

Greatest common factor (GCF) of 32356 and 32360 is 4.

GCF(32356,32360) = 4

We will now calculate the prime factors of 32356 and 32360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32356 and 32360.

How to find the GCF of 32356 and 32360?

We will first find the prime factorization of 32356 and 32360. After we will calculate the factors of 32356 and 32360 and find the biggest common factor number .

Step-1: Prime Factorization of 32356

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

32356 = 2² × 8089¹

Step-2: Prime Factorization of 32360

Prime factors of 32360 are 2, 5, 809. Prime factorization of 32360 in exponential form is:

32360 = 2³ × 5¹ × 809¹

Step-3: Factors of 32356

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

1, 2, 4, 8089, 16178

Step-4: Factors of 32360

List of positive integer factors of 32360 that divides 32356 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 809, 1618, 3236, 4045, 6472, 8090, 16180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32356 and 32360. The biggest common factor number is the GCF number.
So the greatest common factor 32356 and 32360 is 4.

Also check out the Least Common Multiple of 32356 and 32360