What is the Greatest Common Factor of 33957 and 33971?

Greatest common factor (GCF) of 33957 and 33971 is 7.

GCF(33957,33971) = 7

We will now calculate the prime factors of 33957 and 33971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33957 and 33971.

How to find the GCF of 33957 and 33971?

We will first find the prime factorization of 33957 and 33971. After we will calculate the factors of 33957 and 33971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33971

Prime factors of 33971 are 7, 23, 211. Prime factorization of 33971 in exponential form is:

33971 = 7¹ × 23¹ × 211¹

Step-3: Factors of 33957

List of positive integer factors of 33957 that divides 33957 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

Step-4: Factors of 33971

List of positive integer factors of 33971 that divides 33957 without a remainder.

1, 7, 23, 161, 211, 1477, 4853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33957 and 33971. The biggest common factor number is the GCF number.
So the greatest common factor 33957 and 33971 is 7.

Also check out the Least Common Multiple of 33957 and 33971