What is the GCF of 72 and 108

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What is the Greatest common Divisor of 72 and 108?

Answer: GCF of 72 and 108 is 36

(Thirty-six)

Finding GCF for 72 and 108 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 108 is to list all factors for both numbers and pick the highest common one:

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

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So the Greatest Common Factor for 72 and 108 is 36

Finding GCF for 72 and 108 by Prime Factorization

The second method to find GCF for numbers 72 and 108 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 108: 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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What is the LCM of 72 and 108?

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 72 and 108? (The answer is: 36). Select the first number (e.g. '72') and the second number (e.g. '108'). 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
57	108	3
58	108	2
59	108	1
60	108	12
61	108	1
62	108	2
63	108	9
64	108	4
65	108	1
66	108	6
67	108	1
68	108	4
69	108	3
70	108	2
71	108	1
72	108	36
73	108	1
74	108	2
75	108	3
76	108	4
77	108	1
78	108	6
79	108	1
80	108	4
81	108	27
82	108	2
83	108	1
84	108	12
85	108	1
86	108	2

GCF for 72 and 108

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 72 and 108?

Finding GCF for 72 and 108 using all factors (divisors) listing

Finding GCF for 72 and 108 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 72 and 108?

See Also

Number 1	Number 2	GCF
57	108	3
58	108	2
59	108	1
60	108	12
61	108	1
62	108	2
63	108	9
64	108	4
65	108	1
66	108	6
67	108	1
68	108	4
69	108	3
70	108	2
71	108	1
72	108	36
73	108	1
74	108	2
75	108	3
76	108	4
77	108	1
78	108	6
79	108	1
80	108	4
81	108	27
82	108	2
83	108	1
84	108	12
85	108	1
86	108	2

Number 1	Number 2	GCF
57	108	3
58	108	2
59	108	1
60	108	12
61	108	1
62	108	2
63	108	9
64	108	4
65	108	1
66	108	6
67	108	1
68	108	4
69	108	3
70	108	2
71	108	1
72	108	36
73	108	1
74	108	2
75	108	3
76	108	4
77	108	1
78	108	6
79	108	1
80	108	4
81	108	27
82	108	2
83	108	1
84	108	12
85	108	1
86	108	2

Number 1	Number 2	GCF
57	108	3
58	108	2
59	108	1
60	108	12
61	108	1
62	108	2
63	108	9
64	108	4
65	108	1
66	108	6
67	108	1
68	108	4
69	108	3
70	108	2
71	108	1
72	108	36
73	108	1
74	108	2
75	108	3
76	108	4
77	108	1
78	108	6
79	108	1
80	108	4
81	108	27
82	108	2
83	108	1
84	108	12
85	108	1
86	108	2