What is the Greatest Common Factor of 33962 and 33979?

Greatest common factor (GCF) of 33962 and 33979 is 1.

GCF(33962,33979) = 1

We will now calculate the prime factors of 33962 and 33979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33962 and 33979.

How to find the GCF of 33962 and 33979?

We will first find the prime factorization of 33962 and 33979. After we will calculate the factors of 33962 and 33979 and find the biggest common factor number .

Step-1: Prime Factorization of 33962

Prime factors of 33962 are 2, 16981. Prime factorization of 33962 in exponential form is:

33962 = 2¹ × 16981¹

Step-2: Prime Factorization of 33979

Prime factors of 33979 are 11, 3089. Prime factorization of 33979 in exponential form is:

33979 = 11¹ × 3089¹

Step-3: Factors of 33962

List of positive integer factors of 33962 that divides 33962 without a remainder.

1, 2, 16981

Step-4: Factors of 33979

List of positive integer factors of 33979 that divides 33962 without a remainder.

1, 11, 3089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33962 and 33979. The biggest common factor number is the GCF number.
So the greatest common factor 33962 and 33979 is 1.

Also check out the Least Common Multiple of 33962 and 33979