What is the Greatest Common Factor of 33959 and 33971?

Greatest common factor (GCF) of 33959 and 33971 is 1.

GCF(33959,33971) = 1

We will now calculate the prime factors of 33959 and 33971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33959 and 33971.

How to find the GCF of 33959 and 33971?

We will first find the prime factorization of 33959 and 33971. After we will calculate the factors of 33959 and 33971 and find the biggest common factor number .

Step-1: Prime Factorization of 33959

Prime factors of 33959 are 29, 1171. Prime factorization of 33959 in exponential form is:

33959 = 29¹ × 1171¹

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 33959

List of positive integer factors of 33959 that divides 33959 without a remainder.

1, 29, 1171

Step-4: Factors of 33971

List of positive integer factors of 33971 that divides 33959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33959 and 33971. The biggest common factor number is the GCF number.
So the greatest common factor 33959 and 33971 is 1.

Also check out the Least Common Multiple of 33959 and 33971