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GCF of 16 and 42 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 16 and 42?

Answer

GCF of 16 and 42 is

(Two)

Finding GCF for 16 and 42 using all factors (divisors) listing

The first method to find GCF for numbers 16 and 42 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 42: 1, 2, 3, 6, 7, 14, 21, 42

So the Greatest Common Factor for 16 and 42 is 2

Finding GCF for 16 and 42 by Prime Factorization

The second method to find GCF for numbers 16 and 42 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 42: 2, 3, 7

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 16 and 42

Found an error in the calculation or the information?

Related Calculations

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

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 42? (The answer is: 2). Select the first number (e.g. '16') 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.

"Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 16 and 42?

GCF of 16 and 42 is 2

How to find the GCF of 16 and 42?

You can find the GCF of 16 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 42 is 2.

What prime factors do 16 and 42 share?

The prime factorizations of 16 and 42 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 16/42?

Divide the numerator and the denominator by the GCF 2: 16 ÷ 2 = 8 and 42 ÷ 2 = 21. So 16/42 in lowest terms is 8/21.

GCF of 16 and 42 (Greatest Common Factor)

What is the Greatest Common Divisor of 16 and 42?

Finding GCF for 16 and 42 using all factors (divisors) listing

Finding GCF for 16 and 42 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

FAQ

What is the Greatest Common Divisor of 16 and 42?

How to find the GCF of 16 and 42?

What prime factors do 16 and 42 share?

How does the GCF reduce the fraction 16/42?

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