GCF of 225 and 315 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 225 and 315?

Answer

GCF of 225 and 315 is
45

(Forty-five)

Finding GCF for 225 and 315 using all factors (divisors) listing

The first method to find GCF for numbers 225 and 315 is to list all factors for both numbers and pick the highest common one:

All factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

All factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

So the Greatest Common Factor for 225 and 315 is 45

Finding GCF for 225 and 315 by Prime Factorization

The second method to find GCF for numbers 225 and 315 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 225: 3, 3, 5, 5

All Prime Factors of 315: 3, 3, 5, 7

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

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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 225 and 315? (The answer is: 45). Select the first number (e.g. '225') and the second number (e.g. '315'). 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
22530075
2253011
2253021
2253033
2253041
2253055
2253069
2253071
2253081
2253093
2253105
2253111
2253123
2253131
2253141
22531545
2253161
2253171
2253183
2253191
2253205
2253213
2253221
2253231
2253249
22532525
2253261
2253273
2253281
2253291

FAQ

What is the Greatest Common Divisor of 225 and 315?

GCF of 225 and 315 is 45

How to find the GCF of 225 and 315?

You can find the GCF of 225 and 315 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 225 and 315 is 45.

What prime factors do 225 and 315 share?

The prime factorizations of 225 and 315 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 225/315?

Divide the numerator and the denominator by the GCF 45: 225 ÷ 45 = 5 and 315 ÷ 45 = 7. So 225/315 in lowest terms is 5/7.

See Also