GCF for 100 and 220

What is the Greatest common Divisor of 100 and 220?

Answer: GCF of 100 and 220 is 20

(Twenty)

Finding GCF for 100 and 220 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 220 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 220: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

So the Greatest Common Factor for 100 and 220 is 20

Finding GCF for 100 and 220 by Prime Factorization

The second method to find GCF for numbers 100 and 220 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 220: 2, 2, 5, 11

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
852205
862202
872201
8822044
892201
9022010
912201
922204
932201
942202
952205
962204
972201
982202
9922011
100220
1012201
1022202
1032201
1042204
1052205
1062202
1072201
1082204
1092201
110220110
1112201
1122204
1132201
1142202

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 220? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '220'). 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 220?

GCF of 100 and 220 is 20