What is the Greatest Common Factor of 80312 and 80330?

Greatest common factor (GCF) of 80312 and 80330 is 2.

GCF(80312,80330) = 2

We will now calculate the prime factors of 80312 and 80330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80312 and 80330.

How to find the GCF of 80312 and 80330?

We will first find the prime factorization of 80312 and 80330. After we will calculate the factors of 80312 and 80330 and find the biggest common factor number .

Step-1: Prime Factorization of 80312

Prime factors of 80312 are 2, 10039. Prime factorization of 80312 in exponential form is:

80312 = 2³ × 10039¹

Step-2: Prime Factorization of 80330

Prime factors of 80330 are 2, 5, 29, 277. Prime factorization of 80330 in exponential form is:

80330 = 2¹ × 5¹ × 29¹ × 277¹

Step-3: Factors of 80312

List of positive integer factors of 80312 that divides 80312 without a remainder.

1, 2, 4, 8, 10039, 20078, 40156

Step-4: Factors of 80330

List of positive integer factors of 80330 that divides 80312 without a remainder.

1, 2, 5, 10, 29, 58, 145, 277, 290, 554, 1385, 2770, 8033, 16066, 40165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80312 and 80330. The biggest common factor number is the GCF number.
So the greatest common factor 80312 and 80330 is 2.

Also check out the Least Common Multiple of 80312 and 80330