GCF for 100 and 760

What is the Greatest common Divisor of 100 and 760?

Answer: GCF of 100 and 760 is 20

(Twenty)

Finding GCF for 100 and 760 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 760 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

All factors of 760: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

So the Greatest Common Factor for 100 and 760 is 20

Finding GCF for 100 and 760 by Prime Factorization

The second method to find GCF for numbers 100 and 760 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 760: 2, 2, 2, 5, 19

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
857605
867602
877601
887608
897601
9076010
917601
927604
937601
947602
9576095
967608
977601
987602
997601
10076020
1017601
1027602
1037601
1047608
1057605
1067602
1077601
1087604
1097601
11076010
1117601
1127608
1137601
11476038

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 100 and 760? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '760'). 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 100 and 760?

GCF of 100 and 760 is 20