What is the Greatest Common Factor of 80320 and 80335?

Greatest common factor (GCF) of 80320 and 80335 is 5.

GCF(80320,80335) = 5

We will now calculate the prime factors of 80320 and 80335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80320 and 80335.

How to find the GCF of 80320 and 80335?

We will first find the prime factorization of 80320 and 80335. After we will calculate the factors of 80320 and 80335 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 80335

Prime factors of 80335 are 5, 16067. Prime factorization of 80335 in exponential form is:

80335 = 5¹ × 16067¹

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 80335

List of positive integer factors of 80335 that divides 80320 without a remainder.

1, 5, 16067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80320 and 80335. The biggest common factor number is the GCF number.
So the greatest common factor 80320 and 80335 is 5.

Also check out the Least Common Multiple of 80320 and 80335