What is the Greatest Common Factor of 33959 and 33973?

Greatest common factor (GCF) of 33959 and 33973 is 1.

GCF(33959,33973) = 1

We will now calculate the prime factors of 33959 and 33973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33959 and 33973.

How to find the GCF of 33959 and 33973?

We will first find the prime factorization of 33959 and 33973. After we will calculate the factors of 33959 and 33973 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 33973

Prime factors of 33973 are 53, 641. Prime factorization of 33973 in exponential form is:

33973 = 53¹ × 641¹

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 33973

List of positive integer factors of 33973 that divides 33959 without a remainder.

1, 53, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33959 and 33973. The biggest common factor number is the GCF number.
So the greatest common factor 33959 and 33973 is 1.

Also check out the Least Common Multiple of 33959 and 33973