What is the Greatest Common Factor of 83493 and 83511?

Greatest common factor (GCF) of 83493 and 83511 is 9.

GCF(83493,83511) = 9

We will now calculate the prime factors of 83493 and 83511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83493 and 83511.

How to find the GCF of 83493 and 83511?

We will first find the prime factorization of 83493 and 83511. After we will calculate the factors of 83493 and 83511 and find the biggest common factor number .

Step-1: Prime Factorization of 83493

Prime factors of 83493 are 3, 9277. Prime factorization of 83493 in exponential form is:

83493 = 3² × 9277¹

Step-2: Prime Factorization of 83511

Prime factors of 83511 are 3, 1031. Prime factorization of 83511 in exponential form is:

83511 = 3⁴ × 1031¹

Step-3: Factors of 83493

List of positive integer factors of 83493 that divides 83493 without a remainder.

1, 3, 9, 9277, 27831

Step-4: Factors of 83511

List of positive integer factors of 83511 that divides 83493 without a remainder.

1, 3, 9, 27, 81, 1031, 3093, 9279, 27837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83493 and 83511. The biggest common factor number is the GCF number.
So the greatest common factor 83493 and 83511 is 9.

Also check out the Least Common Multiple of 83493 and 83511