What is the Greatest Common Factor of 33946 and 33957?

Greatest common factor (GCF) of 33946 and 33957 is 11.

GCF(33946,33957) = 11

We will now calculate the prime factors of 33946 and 33957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33946 and 33957.

How to find the GCF of 33946 and 33957?

We will first find the prime factorization of 33946 and 33957. After we will calculate the factors of 33946 and 33957 and find the biggest common factor number .

Step-1: Prime Factorization of 33946

Prime factors of 33946 are 2, 11, 1543. Prime factorization of 33946 in exponential form is:

33946 = 2¹ × 11¹ × 1543¹

Step-2: Prime Factorization of 33957

Prime factors of 33957 are 3, 7, 11. Prime factorization of 33957 in exponential form is:

33957 = 3² × 7³ × 11¹

Step-3: Factors of 33946

List of positive integer factors of 33946 that divides 33946 without a remainder.

1, 2, 11, 22, 1543, 3086, 16973

Step-4: Factors of 33957

List of positive integer factors of 33957 that divides 33946 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 343, 441, 539, 693, 1029, 1617, 3087, 3773, 4851, 11319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33946 and 33957. The biggest common factor number is the GCF number.
So the greatest common factor 33946 and 33957 is 11.

Also check out the Least Common Multiple of 33946 and 33957