What is the Greatest Common Factor of 33134 and 33154?

Greatest common factor (GCF) of 33134 and 33154 is 2.

GCF(33134,33154) = 2

We will now calculate the prime factors of 33134 and 33154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33134 and 33154.

How to find the GCF of 33134 and 33154?

We will first find the prime factorization of 33134 and 33154. After we will calculate the factors of 33134 and 33154 and find the biggest common factor number .

Step-1: Prime Factorization of 33134

Prime factors of 33134 are 2, 16567. Prime factorization of 33134 in exponential form is:

33134 = 2¹ × 16567¹

Step-2: Prime Factorization of 33154

Prime factors of 33154 are 2, 11, 137. Prime factorization of 33154 in exponential form is:

33154 = 2¹ × 11² × 137¹

Step-3: Factors of 33134

List of positive integer factors of 33134 that divides 33134 without a remainder.

1, 2, 16567

Step-4: Factors of 33154

List of positive integer factors of 33154 that divides 33134 without a remainder.

1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33134 and 33154. The biggest common factor number is the GCF number.
So the greatest common factor 33134 and 33154 is 2.

Also check out the Least Common Multiple of 33134 and 33154