Feedback form

GCF (HCF) of 16 and 64

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 16 and 64?

Answer

GCF (HCF) of 16 and 64 is

16

Common factors: 1, 2, 4, 8, 16

16 divides 64 (64 ÷ 16 = 4), so the GCF is the smaller number itself.

16 = 2⁴

64 = 2⁶

Prime	16	64	Lowest power
2	2⁴	2⁶	2⁴

GCF = 2⁴ = 16

More with these numbers

Found an error in the calculation or the information?

Related Calculations

See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

Share This Calculation

Print

https://calculat.io/en/number/greatest-common-factor-of/16--64

<a href="https://calculat.io/en/number/greatest-common-factor-of/16--64">What is the GCF (HCF) of 16 and 64 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 16 and 64. The GCF of 16 and 64 is 16 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/16--64/generated.jpg

GCF Table

Number 1	Number 2	GCF
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	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16

FAQ

What is the Greatest Common Divisor of 16 and 64?

GCF (HCF) of 16 and 64 is 16

How to find the GCF of 16 and 64?

You can find the GCF of 16 and 64 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 64 is 16.

What prime factors do 16 and 64 share?

The prime factorizations of 16 and 64 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 16/64?

Divide the numerator and the denominator by the GCF 16: 16 ÷ 16 = 1 and 64 ÷ 16 = 4. So 16/64 in lowest terms is 1/4.