GCF for 80 and 105

What is the Greatest common Divisor of 80 and 105?

Answer: GCF of 80 and 105 is 5

(Five)

Finding GCF for 80 and 105 using all factors (divisors) listing

The first method to find GCF for numbers 80 and 105 is to list all factors for both numbers and pick the highest common one:

All factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

So the Greatest Common Factor for 80 and 105 is 5

Finding GCF for 80 and 105 by Prime Factorization

The second method to find GCF for numbers 80 and 105 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 80: 2, 2, 2, 2, 5

All Prime Factors of 105: 3, 5, 7

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 80 and 105

GCF Table

Number 1Number 2GCF
651055
661053
671051
681051
691053
70105
711051
721053
731051
741051
75105
761051
771057
781053
791051
801055
811053
821051
831051
84105
851055
861051
871053
881051
891051
90105
911057
921051
931053
941051

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 80 and 105? (The answer is: 5). Select the first number (e.g. '80') and the second number (e.g. '105'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest common Divisor of 80 and 105?

GCF of 80 and 105 is 5