What is the Greatest Common Factor of 80320 and 80339?

Greatest common factor (GCF) of 80320 and 80339 is 1.

GCF(80320,80339) = 1

We will now calculate the prime factors of 80320 and 80339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80320 and 80339.

How to find the GCF of 80320 and 80339?

We will first find the prime factorization of 80320 and 80339. After we will calculate the factors of 80320 and 80339 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 80339

Prime factors of 80339 are 7, 23, 499. Prime factorization of 80339 in exponential form is:

80339 = 7¹ × 23¹ × 499¹

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 80339

List of positive integer factors of 80339 that divides 80320 without a remainder.

1, 7, 23, 161, 499, 3493, 11477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80320 and 80339. The biggest common factor number is the GCF number.
So the greatest common factor 80320 and 80339 is 1.

Also check out the Least Common Multiple of 80320 and 80339