GCF for 21 and 35

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 21 and 35?

Answer: GCF of 21 and 35 is 7

(Seven)

Finding GCF for 21 and 35 using all factors (divisors) listing

The first method to find GCF for numbers 21 and 35 is to list all factors for both numbers and pick the highest common one:

All factors of 21: 1, 3, 7, 21

All factors of 35: 1, 5, 7, 35

So the Greatest Common Factor for 21 and 35 is 7

Finding GCF for 21 and 35 by Prime Factorization

The second method to find GCF for numbers 21 and 35 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 21: 3, 7

All Prime Factors of 35: 5, 7

As we can see there is only one Prime Factor common to both numbers. It is 7

So 7 is the Greatest Common Factor of 21 and 35

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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 21 and 35? (The answer is: 7). Select the first number (e.g. '21') and the second number (e.g. '35'). 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
6351
7357
8351
9351
10355
11351
12351
13351
14357
15355
16351
17351
18351
19351
20355
21357
22351
23351
24351
25355
26351
27351
28357
29351
30355
31351
32351
33351
34351
353535

FAQ

What is the Greatest common Divisor of 21 and 35?

GCF of 21 and 35 is 7

See Also