What is the Greatest Common Factor of 33148 and 33160?

Greatest common factor (GCF) of 33148 and 33160 is 4.

GCF(33148,33160) = 4

We will now calculate the prime factors of 33148 and 33160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33148 and 33160.

How to find the GCF of 33148 and 33160?

We will first find the prime factorization of 33148 and 33160. After we will calculate the factors of 33148 and 33160 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 33160

Prime factors of 33160 are 2, 5, 829. Prime factorization of 33160 in exponential form is:

33160 = 2³ × 5¹ × 829¹

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 33160

List of positive integer factors of 33160 that divides 33148 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33148 and 33160. The biggest common factor number is the GCF number.
So the greatest common factor 33148 and 33160 is 4.

Also check out the Least Common Multiple of 33148 and 33160