GCF of 24 and 210 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 24 and 210?

Answer

GCF of 24 and 210 is
6

(Six)

Finding GCF for 24 and 210 using all factors (divisors) listing

The first method to find GCF for numbers 24 and 210 is to list all factors for both numbers and pick the highest common one:

All factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

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 24 and 210 is 6

Finding GCF for 24 and 210 by Prime Factorization

The second method to find GCF for numbers 24 and 210 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 24: 2, 2, 2, 3

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

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 24 and 210? (The answer is: 6). Select the first number (e.g. '24') 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
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
24808
248412
24888
24906
249624
241004
241048
2412024
242106
2410008

FAQ

What is the Greatest Common Divisor of 24 and 210?

GCF of 24 and 210 is 6

How to find the GCF of 24 and 210?

You can find the GCF of 24 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 210 is 6.

What prime factors do 24 and 210 share?

The prime factorizations of 24 and 210 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/210?

Divide the numerator and the denominator by the GCF 6: 24 ÷ 6 = 4 and 210 ÷ 6 = 35. So 24/210 in lowest terms is 4/35.

See Also