What is the Greatest Common Factor of 83259 and 83277?

Greatest common factor (GCF) of 83259 and 83277 is 9.

GCF(83259,83277) = 9

We will now calculate the prime factors of 83259 and 83277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83259 and 83277.

How to find the GCF of 83259 and 83277?

We will first find the prime factorization of 83259 and 83277. After we will calculate the factors of 83259 and 83277 and find the biggest common factor number .

Step-1: Prime Factorization of 83259

Prime factors of 83259 are 3, 11, 29. Prime factorization of 83259 in exponential form is:

83259 = 3² × 11¹ × 29²

Step-2: Prime Factorization of 83277

Prime factors of 83277 are 3, 19, 487. Prime factorization of 83277 in exponential form is:

83277 = 3² × 19¹ × 487¹

Step-3: Factors of 83259

List of positive integer factors of 83259 that divides 83259 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 841, 957, 2523, 2871, 7569, 9251, 27753

Step-4: Factors of 83277

List of positive integer factors of 83277 that divides 83259 without a remainder.

1, 3, 9, 19, 57, 171, 487, 1461, 4383, 9253, 27759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83259 and 83277. The biggest common factor number is the GCF number.
So the greatest common factor 83259 and 83277 is 9.

Also check out the Least Common Multiple of 83259 and 83277