GCF for 210 and 252

What is the Greatest common Divisor of 210 and 252?

Answer: GCF of 210 and 252 is 42

(Forty-two)

Finding GCF for 210 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 210 and 252 is to list all factors for both numbers and pick the highest common one:

All factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 210 and 252 is 42

Finding GCF for 210 and 252 by Prime Factorization

The second method to find GCF for numbers 210 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 252: 2, 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 3, 7

Now we need to multiply them to find GCF: 2 × 3 × 7 = 42

See Also

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 210 and 252? (The answer is: 42). Select the first number (e.g. '210') and the second number (e.g. '252'). 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

GCF Table

Number 1Number 2GCF
1952523
19625228
1972521
19825218
1992521
2002524
2012523
2022522
2032527
20425212
2052521
2062522
2072529
2082524
2092521
210252
2112521
2122524
2132523
2142522
2152521
21625236
2172527
2182522
2192523
2202524
2212521
2222526
2232521
22425228

FAQ

What is the Greatest common Divisor of 210 and 252?

GCF of 210 and 252 is 42