What is the Greatest Common Factor of 34733 and 34737?

Greatest common factor (GCF) of 34733 and 34737 is 1.

GCF(34733,34737) = 1

We will now calculate the prime factors of 34733 and 34737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34733 and 34737.

How to find the GCF of 34733 and 34737?

We will first find the prime factorization of 34733 and 34737. After we will calculate the factors of 34733 and 34737 and find the biggest common factor number .

Step-1: Prime Factorization of 34733

Prime factors of 34733 are 47, 739. Prime factorization of 34733 in exponential form is:

34733 = 47¹ × 739¹

Step-2: Prime Factorization of 34737

Prime factors of 34737 are 3, 11579. Prime factorization of 34737 in exponential form is:

34737 = 3¹ × 11579¹

Step-3: Factors of 34733

List of positive integer factors of 34733 that divides 34733 without a remainder.

1, 47, 739

Step-4: Factors of 34737

List of positive integer factors of 34737 that divides 34733 without a remainder.

1, 3, 11579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34733 and 34737. The biggest common factor number is the GCF number.
So the greatest common factor 34733 and 34737 is 1.

Also check out the Least Common Multiple of 34733 and 34737