What is the Greatest Common Factor of 33156 and 33172?

Greatest common factor (GCF) of 33156 and 33172 is 4.

GCF(33156,33172) = 4

We will now calculate the prime factors of 33156 and 33172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33156 and 33172.

How to find the GCF of 33156 and 33172?

We will first find the prime factorization of 33156 and 33172. After we will calculate the factors of 33156 and 33172 and find the biggest common factor number .

Step-1: Prime Factorization of 33156

Prime factors of 33156 are 2, 3, 307. Prime factorization of 33156 in exponential form is:

33156 = 2² × 3³ × 307¹

Step-2: Prime Factorization of 33172

Prime factors of 33172 are 2, 8293. Prime factorization of 33172 in exponential form is:

33172 = 2² × 8293¹

Step-3: Factors of 33156

List of positive integer factors of 33156 that divides 33156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578

Step-4: Factors of 33172

List of positive integer factors of 33172 that divides 33156 without a remainder.

1, 2, 4, 8293, 16586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33156 and 33172. The biggest common factor number is the GCF number.
So the greatest common factor 33156 and 33172 is 4.

Also check out the Least Common Multiple of 33156 and 33172