What is the Greatest Common Factor of 80259 and 80277?

Greatest common factor (GCF) of 80259 and 80277 is 3.

GCF(80259,80277) = 3

We will now calculate the prime factors of 80259 and 80277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80259 and 80277.

How to find the GCF of 80259 and 80277?

We will first find the prime factorization of 80259 and 80277. After we will calculate the factors of 80259 and 80277 and find the biggest common factor number .

Step-1: Prime Factorization of 80259

Prime factors of 80259 are 3, 31, 863. Prime factorization of 80259 in exponential form is:

80259 = 3¹ × 31¹ × 863¹

Step-2: Prime Factorization of 80277

Prime factors of 80277 are 3, 26759. Prime factorization of 80277 in exponential form is:

80277 = 3¹ × 26759¹

Step-3: Factors of 80259

List of positive integer factors of 80259 that divides 80259 without a remainder.

1, 3, 31, 93, 863, 2589, 26753

Step-4: Factors of 80277

List of positive integer factors of 80277 that divides 80259 without a remainder.

1, 3, 26759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80259 and 80277. The biggest common factor number is the GCF number.
So the greatest common factor 80259 and 80277 is 3.

Also check out the Least Common Multiple of 80259 and 80277