GCF for 100 and 580

What is the Greatest Common Factor of 100 and 580?

Answer: GCF of 100 and 580 is 20

(Twenty)

Finding GCF for 100 and 580 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 580 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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

So the Greatest Common Factor for 100 and 580 is 20

Finding GCF for 100 and 580 by Prime Factorization

The second method to find GCF for numbers 100 and 580 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 580: 2, 2, 5, 29

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
855805
865802
8758029
885804
895801
9058010
915801
925804
935801
945802
955805
965804
975801
985802
995801
10058020
1015801
1025802
1035801
1045804
1055805
1065802
1075801
1085804
1095801
11058010
1115801
1125804
1135801
1145802

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 Factor of 100 and 580? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '580'). 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 Factor of 100 and 580?

GCF of 100 and 580 is 20