What is the Greatest Common Factor of 33142 and 33148?

Greatest common factor (GCF) of 33142 and 33148 is 2.

GCF(33142,33148) = 2

We will now calculate the prime factors of 33142 and 33148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33142 and 33148.

How to find the GCF of 33142 and 33148?

We will first find the prime factorization of 33142 and 33148. After we will calculate the factors of 33142 and 33148 and find the biggest common factor number .

Step-1: Prime Factorization of 33142

Prime factors of 33142 are 2, 73, 227. Prime factorization of 33142 in exponential form is:

33142 = 2¹ × 73¹ × 227¹

Step-2: Prime Factorization of 33148

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

33148 = 2² × 8287¹

Step-3: Factors of 33142

List of positive integer factors of 33142 that divides 33142 without a remainder.

1, 2, 73, 146, 227, 454, 16571

Step-4: Factors of 33148

List of positive integer factors of 33148 that divides 33142 without a remainder.

1, 2, 4, 8287, 16574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33142 and 33148. The biggest common factor number is the GCF number.
So the greatest common factor 33142 and 33148 is 2.

Also check out the Least Common Multiple of 33142 and 33148