Feedback form

GCF (HCF) of 42 and 84

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 42 and 84?

Answer

GCF (HCF) of 42 and 84 is

42

Common factors: 1, 2, 3, 6, 7, 14, 21, 42

42 divides 84 (84 ÷ 42 = 2), so the GCF is the smaller number itself.

42 = 2 × 3 × 7

84 = 2² × 3 × 7

Prime	42	84	Lowest power
2	2	2²	2
3	3	3	3
7	7	7	7

GCF = 2 × 3 × 7 = 42

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/42--84

<a href="https://calculat.io/en/number/greatest-common-factor-of/42--84">What is the GCF (HCF) of 42 and 84 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 42 and 84. The GCF of 42 and 84 is 42 — 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/42--84/generated.jpg

GCF Table

Number 1	Number 2	GCF
42	28	14
42	44	2
42	45	3
42	46	2
42	48	6
42	49	7
42	50	2
42	51	3
42	52	2
42	54	6
42	55	1
42	56	14
42	57	3
42	58	2
42	59	1
42	60	6
42	63	21
42	65	1
42	70	14
42	72	6
42	80	2
42	84	42
42	86	2
42	90	6
42	96	6
42	98	14
42	100	2
42	105	21
42	231	21
42	1,365	21

FAQ

What is the Greatest Common Divisor of 42 and 84?

GCF (HCF) of 42 and 84 is 42

How to find the GCF of 42 and 84?

You can find the GCF of 42 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 84 is 42.

What prime factors do 42 and 84 share?

The prime factorizations of 42 and 84 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/84?

Divide the numerator and the denominator by the GCF 42: 42 ÷ 42 = 1 and 84 ÷ 42 = 2. So 42/84 in lowest terms is 1/2.