GCF for 120 and 210

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 120 and 210?

Answer: GCF of 120 and 210 is 30

(Thirty)

Finding GCF for 120 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 210 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 120 and 210 is 30

Finding GCF for 120 and 210 by Prime Factorization

The second method to find GCF for numbers 120 and 210 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 210: 2, 3, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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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 120 and 210? (The answer is: 30). Select the first number (e.g. '120') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
105210105
1062102
1072101
1082106
1092101
11021010
1112103
11221014
1132101
1142106
1152105
1162102
1172103
1182102
1192107
12021030
1212101
1222102
1232103
1242102
1252105
12621042
1272101
1282102
1292103
13021010
1312101
1322106
1332107
1342102

FAQ

What is the Greatest common Divisor of 120 and 210?

GCF of 120 and 210 is 30

See Also