GCF for 10 and 735

What is the Greatest Common Factor of 10 and 735?

Answer: GCF of 10 and 735 is 5

(Five)

Finding GCF for 10 and 735 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 735 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 735: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

So the Greatest Common Factor for 10 and 735 is 5

Finding GCF for 10 and 735 by Prime Factorization

The second method to find GCF for numbers 10 and 735 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 735: 3, 5, 7, 7

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 735

GCF Table

Number 1Number 2GCF
17351
27351
37353
47351
57355
67353
77357
87351
97353
107355
117351
127353
137351
147357
1573515
167351
177351
187353
197351
207355
2173521
227351
237351
247353
257355
267351
277353
287357
297351
3073515

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 735? (The answer is: 5). Select the first number (e.g. '10') and the second number (e.g. '735'). 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 735?

GCF of 10 and 735 is 5