GCF for 10 and 45

What is the Greatest Common Factor of 10 and 45?

Answer: GCF of 10 and 45 is 5

(Five)

Finding GCF for 10 and 45 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 45 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 45: 1, 3, 5, 9, 15, 45

So the Greatest Common Factor for 10 and 45 is 5

Finding GCF for 10 and 45 by Prime Factorization

The second method to find GCF for numbers 10 and 45 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 45: 3, 3, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 10 and 45

GCF Table

Number 1Number 2GCF
1451
2451
3453
4451
545
6453
7451
8451
945
1045
11451
1245
13451
1445
1545
1645
17451
1845
19451
2045
2145
2245
23451
2445
2545
2645
2745
2845
2945
3045

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 45? (The answer is: 5). Select the first number (e.g. '10') and the second number (e.g. '45'). 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 45?

GCF of 10 and 45 is 5