What is the Greatest Common Factor of 80320 and 80334?

Greatest common factor (GCF) of 80320 and 80334 is 2.

GCF(80320,80334) = 2

We will now calculate the prime factors of 80320 and 80334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80320 and 80334.

How to find the GCF of 80320 and 80334?

We will first find the prime factorization of 80320 and 80334. After we will calculate the factors of 80320 and 80334 and find the biggest common factor number .

Step-1: Prime Factorization of 80320

Prime factors of 80320 are 2, 5, 251. Prime factorization of 80320 in exponential form is:

80320 = 2⁶ × 5¹ × 251¹

Step-2: Prime Factorization of 80334

Prime factors of 80334 are 2, 3, 4463. Prime factorization of 80334 in exponential form is:

80334 = 2¹ × 3² × 4463¹

Step-3: Factors of 80320

List of positive integer factors of 80320 that divides 80320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 251, 320, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 16064, 20080, 40160

Step-4: Factors of 80334

List of positive integer factors of 80334 that divides 80320 without a remainder.

1, 2, 3, 6, 9, 18, 4463, 8926, 13389, 26778, 40167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80320 and 80334. The biggest common factor number is the GCF number.
So the greatest common factor 80320 and 80334 is 2.

Also check out the Least Common Multiple of 80320 and 80334