What is the GCF of 30 and 72

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 30 and 72?

Answer: GCF of 30 and 72 is 6

(Six)

Finding GCF for 30 and 72 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 72 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

So the Greatest Common Factor for 30 and 72 is 6

Finding GCF for 30 and 72 by Prime Factorization

The second method to find GCF for numbers 30 and 72 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 72: 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 30 and 72? (The answer is: 6). Select the first number (e.g. '30') and the second number (e.g. '72'). 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

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GCF Table

Number 1	Number 2	GCF
15	72	3
16	72	8
17	72	1
18	72	18
19	72	1
20	72	4
21	72	3
22	72	2
23	72	1
24	72	24
25	72	1
26	72	2
27	72	9
28	72	4
29	72	1
30	72	6
31	72	1
32	72	8
33	72	3
34	72	2
35	72	1
36	72	36
37	72	1
38	72	2
39	72	3
40	72	8
41	72	1
42	72	6
43	72	1
44	72	4

GCF for 30 and 72

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 30 and 72?

Finding GCF for 30 and 72 using all factors (divisors) listing

Finding GCF for 30 and 72 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 30 and 72?

See Also

Number 1	Number 2	GCF
15	72	3
16	72	8
17	72	1
18	72	18
19	72	1
20	72	4
21	72	3
22	72	2
23	72	1
24	72	24
25	72	1
26	72	2
27	72	9
28	72	4
29	72	1
30	72	6
31	72	1
32	72	8
33	72	3
34	72	2
35	72	1
36	72	36
37	72	1
38	72	2
39	72	3
40	72	8
41	72	1
42	72	6
43	72	1
44	72	4

Number 1	Number 2	GCF
15	72	3
16	72	8
17	72	1
18	72	18
19	72	1
20	72	4
21	72	3
22	72	2
23	72	1
24	72	24
25	72	1
26	72	2
27	72	9
28	72	4
29	72	1
30	72	6
31	72	1
32	72	8
33	72	3
34	72	2
35	72	1
36	72	36
37	72	1
38	72	2
39	72	3
40	72	8
41	72	1
42	72	6
43	72	1
44	72	4

Number 1	Number 2	GCF
15	72	3
16	72	8
17	72	1
18	72	18
19	72	1
20	72	4
21	72	3
22	72	2
23	72	1
24	72	24
25	72	1
26	72	2
27	72	9
28	72	4
29	72	1
30	72	6
31	72	1
32	72	8
33	72	3
34	72	2
35	72	1
36	72	36
37	72	1
38	72	2
39	72	3
40	72	8
41	72	1
42	72	6
43	72	1
44	72	4