GCF of 210 and 300 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 210 and 300?

Answer

GCF of 210 and 300 is
30

(Thirty)

Finding GCF for 210 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 210 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 210 and 300 is 30

Finding GCF for 210 and 300 by Prime Factorization

The second method to find GCF for numbers 210 and 300 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 300: 2, 2, 3, 5, 5

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

Related Calculations

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 300? (The answer is: 30). Select the first number (e.g. '210') and the second number (e.g. '300'). 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
21028515
2102862
2102877
2102886
2102891
21029010
2102913
2102922
2102931
21029442
2102955
2102962
2102973
2102982
2102991
21030030
2103017
2103022
2103033
2103042
2103055
2103066
2103071
21030814
2103093
21031010
2103111
2103126
2103131
2103142

FAQ

What is the Greatest Common Divisor of 210 and 300?

GCF of 210 and 300 is 30

How to find the GCF of 210 and 300?

You can find the GCF of 210 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 300 is 30.

What prime factors do 210 and 300 share?

The prime factorizations of 210 and 300 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 210/300?

Divide the numerator and the denominator by the GCF 30: 210 ÷ 30 = 7 and 300 ÷ 30 = 10. So 210/300 in lowest terms is 7/10.

See Also