GCF for 80 and 300

What is the Greatest common Divisor of 80 and 300?

Answer: GCF of 80 and 300 is 20

(Twenty)

Finding GCF for 80 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 80 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 80 and 300 is 20

Finding GCF for 80 and 300 by Prime Factorization

The second method to find GCF for numbers 80 and 300 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 300: 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
653005
663006
673001
683004
693003
70300
713001
7230012
733001
743002
75300
763004
773001
783006
793001
8030020
813003
823002
833001
8430012
853005
863002
873003
883004
893001
9030030
913001
923004
933003
943002

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 300? (The answer is: 20). Select the first number (e.g. '80') and the second number (e.g. '300'). 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 300?

GCF of 80 and 300 is 20