GCF for 100 and 210

What is the Greatest Common Factor of 100 and 210?

Answer: GCF of 100 and 210 is 10

(Ten)

Finding GCF for 100 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 210 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 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

So the Greatest Common Factor for 100 and 210 is 10

Finding GCF for 100 and 210 by Prime Factorization

The second method to find GCF for numbers 100 and 210 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 210: 2, 3, 5, 7

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
852105
862102
872103
882102
892101
90210
912107
922102
932103
942102
952105
962106
972101
9821014
992103
10021010
1012101
1022106
1032101
1042102
105210105
1062102
1072101
1082106
1092101
11021010
1112103
11221014
1132101
1142106

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 210? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '210'). 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 210?

GCF of 100 and 210 is 10