GCF of 16 and 72 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 16 and 72?

Answer

GCF of 16 and 72 is

(Eight)

Finding GCF for 16 and 72 using all factors (divisors) listing

The first method to find GCF for numbers 16 and 72 is to list all factors for both numbers and pick the highest common one:

All factors of 16: 1, 2, 4, 8, 16

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

So the Greatest Common Factor for 16 and 72 is 8

Finding GCF for 16 and 72 by Prime Factorization

The second method to find GCF for numbers 16 and 72 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 16: 2, 2, 2, 2

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

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

Now we need to multiply them to find GCF: 2 × 2 × 2 = 8

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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 16 and 72? (The answer is: 8). Select the first number (e.g. '16') 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.

"Greatest Common Factor" Calculator

GCF Table

Number 1	Number 2	GCF
16	23	1
16	24	8
16	25	1
16	26	2
16	27	1
16	28	4
16	30	2
16	32	16
16	33	1
16	34	2
16	35	1
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	55	1
16	56	8
16	58	2
16	60	4
16	72	8
16	100	4

FAQ

What is the Greatest Common Divisor of 16 and 72?

GCF of 16 and 72 is 8

How to find the GCF of 16 and 72?

You can find the GCF of 16 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 72 is 8.

What prime factors do 16 and 72 share?

The prime factorizations of 16 and 72 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 16/72?

Divide the numerator and the denominator by the GCF 8: 16 ÷ 8 = 2 and 72 ÷ 8 = 9. So 16/72 in lowest terms is 2/9.

GCF of 16 and 72 (Greatest Common Factor)

What is the Greatest Common Divisor of 16 and 72?

Finding GCF for 16 and 72 using all factors (divisors) listing

Finding GCF for 16 and 72 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest Common Divisor of 16 and 72?

How to find the GCF of 16 and 72?

What prime factors do 16 and 72 share?

How does the GCF reduce the fraction 16/72?

See Also

Number 1	Number 2	GCF
16	23	1
16	24	8
16	25	1
16	26	2
16	27	1
16	28	4
16	30	2
16	32	16
16	33	1
16	34	2
16	35	1
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	55	1
16	56	8
16	58	2
16	60	4
16	72	8
16	100	4

Number 1	Number 2	GCF
16	23	1
16	24	8
16	25	1
16	26	2
16	27	1
16	28	4
16	30	2
16	32	16
16	33	1
16	34	2
16	35	1
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	55	1
16	56	8
16	58	2
16	60	4
16	72	8
16	100	4

Number 1	Number 2	GCF
16	23	1
16	24	8
16	25	1
16	26	2
16	27	1
16	28	4
16	30	2
16	32	16
16	33	1
16	34	2
16	35	1
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	55	1
16	56	8
16	58	2
16	60	4
16	72	8
16	100	4