What is the Greatest Common Factor of 33925 and 33937?

Greatest common factor (GCF) of 33925 and 33937 is 1.

GCF(33925,33937) = 1

We will now calculate the prime factors of 33925 and 33937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33925 and 33937.

How to find the GCF of 33925 and 33937?

We will first find the prime factorization of 33925 and 33937. After we will calculate the factors of 33925 and 33937 and find the biggest common factor number .

Step-1: Prime Factorization of 33925

Prime factors of 33925 are 5, 23, 59. Prime factorization of 33925 in exponential form is:

33925 = 5² × 23¹ × 59¹

Step-2: Prime Factorization of 33937

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

33937 = 33937¹

Step-3: Factors of 33925

List of positive integer factors of 33925 that divides 33925 without a remainder.

1, 5, 23, 25, 59, 115, 295, 575, 1357, 1475, 6785

Step-4: Factors of 33937

List of positive integer factors of 33937 that divides 33925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33925 and 33937. The biggest common factor number is the GCF number.
So the greatest common factor 33925 and 33937 is 1.

Also check out the Least Common Multiple of 33925 and 33937