What is the Greatest Common Factor of 33148 and 33162?

Greatest common factor (GCF) of 33148 and 33162 is 2.

GCF(33148,33162) = 2

We will now calculate the prime factors of 33148 and 33162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33148 and 33162.

How to find the GCF of 33148 and 33162?

We will first find the prime factorization of 33148 and 33162. After we will calculate the factors of 33148 and 33162 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 33162

Prime factors of 33162 are 2, 3, 5527. Prime factorization of 33162 in exponential form is:

33162 = 2¹ × 3¹ × 5527¹

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 33162

List of positive integer factors of 33162 that divides 33148 without a remainder.

1, 2, 3, 6, 5527, 11054, 16581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33148 and 33162. The biggest common factor number is the GCF number.
So the greatest common factor 33148 and 33162 is 2.

Also check out the Least Common Multiple of 33148 and 33162