What is the Greatest Common Factor of 33937 and 33952?

Greatest common factor (GCF) of 33937 and 33952 is 1.

GCF(33937,33952) = 1

We will now calculate the prime factors of 33937 and 33952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33937 and 33952.

How to find the GCF of 33937 and 33952?

We will first find the prime factorization of 33937 and 33952. After we will calculate the factors of 33937 and 33952 and find the biggest common factor number .

Step-1: Prime Factorization of 33937

Prime factors of 33937 are 33937. Prime factorization of 33937 in exponential form is:

33937 = 33937¹

Step-2: Prime Factorization of 33952

Prime factors of 33952 are 2, 1061. Prime factorization of 33952 in exponential form is:

33952 = 2⁵ × 1061¹

Step-3: Factors of 33937

List of positive integer factors of 33937 that divides 33937 without a remainder.

Step-4: Factors of 33952

List of positive integer factors of 33952 that divides 33937 without a remainder.

1, 2, 4, 8, 16, 32, 1061, 2122, 4244, 8488, 16976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33937 and 33952. The biggest common factor number is the GCF number.
So the greatest common factor 33937 and 33952 is 1.

Also check out the Least Common Multiple of 33937 and 33952