What is the Greatest Common Factor of 33148 and 33164?

Greatest common factor (GCF) of 33148 and 33164 is 4.

GCF(33148,33164) = 4

We will now calculate the prime factors of 33148 and 33164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33148 and 33164.

How to find the GCF of 33148 and 33164?

We will first find the prime factorization of 33148 and 33164. After we will calculate the factors of 33148 and 33164 and find the biggest common factor number .

Step-1: Prime Factorization of 33148

Prime factors of 33148 are 2, 8287. Prime factorization of 33148 in exponential form is:

33148 = 2² × 8287¹

Step-2: Prime Factorization of 33164

Prime factors of 33164 are 2, 8291. Prime factorization of 33164 in exponential form is:

33164 = 2² × 8291¹

Step-3: Factors of 33148

List of positive integer factors of 33148 that divides 33148 without a remainder.

1, 2, 4, 8287, 16574

Step-4: Factors of 33164

List of positive integer factors of 33164 that divides 33148 without a remainder.

1, 2, 4, 8291, 16582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33148 and 33164. The biggest common factor number is the GCF number.
So the greatest common factor 33148 and 33164 is 4.

Also check out the Least Common Multiple of 33148 and 33164