What is the Greatest Common Factor of 80319 and 80331?

Greatest common factor (GCF) of 80319 and 80331 is 3.

GCF(80319,80331) = 3

We will now calculate the prime factors of 80319 and 80331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80319 and 80331.

How to find the GCF of 80319 and 80331?

We will first find the prime factorization of 80319 and 80331. After we will calculate the factors of 80319 and 80331 and find the biggest common factor number .

Step-1: Prime Factorization of 80319

Prime factors of 80319 are 3, 41, 653. Prime factorization of 80319 in exponential form is:

80319 = 3¹ × 41¹ × 653¹

Step-2: Prime Factorization of 80331

Prime factors of 80331 are 3, 26777. Prime factorization of 80331 in exponential form is:

80331 = 3¹ × 26777¹

Step-3: Factors of 80319

List of positive integer factors of 80319 that divides 80319 without a remainder.

1, 3, 41, 123, 653, 1959, 26773

Step-4: Factors of 80331

List of positive integer factors of 80331 that divides 80319 without a remainder.

1, 3, 26777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80319 and 80331. The biggest common factor number is the GCF number.
So the greatest common factor 80319 and 80331 is 3.

Also check out the Least Common Multiple of 80319 and 80331