What is the Greatest Common Factor of 83331 and 83337?

Greatest common factor (GCF) of 83331 and 83337 is 3.

GCF(83331,83337) = 3

We will now calculate the prime factors of 83331 and 83337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83331 and 83337.

How to find the GCF of 83331 and 83337?

We will first find the prime factorization of 83331 and 83337. After we will calculate the factors of 83331 and 83337 and find the biggest common factor number .

Step-1: Prime Factorization of 83331

Prime factors of 83331 are 3, 47, 197. Prime factorization of 83331 in exponential form is:

83331 = 3² × 47¹ × 197¹

Step-2: Prime Factorization of 83337

Prime factors of 83337 are 3, 27779. Prime factorization of 83337 in exponential form is:

83337 = 3¹ × 27779¹

Step-3: Factors of 83331

List of positive integer factors of 83331 that divides 83331 without a remainder.

1, 3, 9, 47, 141, 197, 423, 591, 1773, 9259, 27777

Step-4: Factors of 83337

List of positive integer factors of 83337 that divides 83331 without a remainder.

1, 3, 27779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83331 and 83337. The biggest common factor number is the GCF number.
So the greatest common factor 83331 and 83337 is 3.

Also check out the Least Common Multiple of 83331 and 83337