GCF for 10 and 450

What is the Greatest Common Factor of 10 and 450?

Answer: GCF of 10 and 450 is 10

(Ten)

Finding GCF for 10 and 450 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 450 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

All factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

So the Greatest Common Factor for 10 and 450 is 10

Finding GCF for 10 and 450 by Prime Factorization

The second method to find GCF for numbers 10 and 450 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 450: 2, 3, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
14501
24502
34503
44502
54505
64506
74501
84502
94509
1045010
114501
124506
134501
144502
1545015
164502
174501
1845018
194501
2045010
214503
224502
234501
244506
2545025
264502
274509
284502
294501
3045030

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 Factor of 10 and 450? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '450'). 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

FAQ

What is the Greatest Common Factor of 10 and 450?

GCF of 10 and 450 is 10