What is the GCF of 27 and 42

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 27 and 42?

Answer

GCF of 27 and 42 is 3

(Three)

Finding GCF for 27 and 42 using all factors (divisors) listing

The first method to find GCF for numbers 27 and 42 is to list all factors for both numbers and pick the highest common one:

All factors of 27: 1, 3, 9, 27

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

So the Greatest Common Factor for 27 and 42 is 3

Finding GCF for 27 and 42 by Prime Factorization

The second method to find GCF for numbers 27 and 42 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 27: 3, 3, 3

All Prime Factors of 42: 2, 3, 7

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 27 and 42

Related Calculations

GCF Table

Number 1	Number 2	GCF
12	42	6
13	42	1
14	42	14
15	42	3
16	42	2
17	42	1
18	42	6
19	42	1
20	42	2
21	42	21
22	42	2
23	42	1
24	42	6
25	42	1
26	42	2
27	42	3
28	42	14
29	42	1
30	42	6
31	42	1
32	42	2
33	42	3
34	42	2
35	42	7
36	42	6
37	42	1
38	42	2
39	42	3
40	42	2
41	42	1

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 27 and 42? (The answer is: 3). Select the first number (e.g. '27') and the second number (e.g. '42'). 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.

GCF for 27 and 42

What is the Greatest Common Divisor of 27 and 42?

Finding GCF for 27 and 42 using all factors (divisors) listing

Finding GCF for 27 and 42 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 27 and 42?

How to find the GCF of 27 and 42?

See Also

Number 1	Number 2	GCF
12	42	6
13	42	1
14	42	14
15	42	3
16	42	2
17	42	1
18	42	6
19	42	1
20	42	2
21	42	21
22	42	2
23	42	1
24	42	6
25	42	1
26	42	2
27	42	3
28	42	14
29	42	1
30	42	6
31	42	1
32	42	2
33	42	3
34	42	2
35	42	7
36	42	6
37	42	1
38	42	2
39	42	3
40	42	2
41	42	1

Number 1	Number 2	GCF
12	42	6
13	42	1
14	42	14
15	42	3
16	42	2
17	42	1
18	42	6
19	42	1
20	42	2
21	42	21
22	42	2
23	42	1
24	42	6
25	42	1
26	42	2
27	42	3
28	42	14
29	42	1
30	42	6
31	42	1
32	42	2
33	42	3
34	42	2
35	42	7
36	42	6
37	42	1
38	42	2
39	42	3
40	42	2
41	42	1

Number 1	Number 2	GCF
12	42	6
13	42	1
14	42	14
15	42	3
16	42	2
17	42	1
18	42	6
19	42	1
20	42	2
21	42	21
22	42	2
23	42	1
24	42	6
25	42	1
26	42	2
27	42	3
28	42	14
29	42	1
30	42	6
31	42	1
32	42	2
33	42	3
34	42	2
35	42	7
36	42	6
37	42	1
38	42	2
39	42	3
40	42	2
41	42	1