GCF (HCF) of 40 and 84

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 40 and 84?

Answer

GCF (HCF) of 40 and 84 is

Common factors: 1, 2, 4

4 divides both: 40 ÷ 4 = 10, 84 ÷ 4 = 21 — and 10 and 21 share no factor but 1, so no larger number divides both.

40 = 2³ × 5

84 = 2² × 3 × 7

Prime	40	84	Lowest power
2	2³	2²	2²
3	—	3	—
5	5	—	—
7	—	7	—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2² = 4

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
40	52	4
40	53	1
40	54	2
40	55	5
40	56	8
40	58	2
40	59	1
40	60	20
40	63	1
40	64	8
40	65	5
40	66	2
40	70	10
40	72	8
40	80	40
40	84	4
40	85	5
40	90	10
40	96	8
40	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10

FAQ

What is the Greatest Common Divisor of 40 and 84?

GCF (HCF) of 40 and 84 is 4

How to find the GCF of 40 and 84?

You can find the GCF of 40 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 84 is 4.

What prime factors do 40 and 84 share?

The prime factorizations of 40 and 84 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/84?

Divide the numerator and the denominator by the GCF 4: 40 ÷ 4 = 10 and 84 ÷ 4 = 21. So 40/84 in lowest terms is 10/21.

GCF (HCF) of 40 and 84

What is the Greatest Common Divisor of 40 and 84?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 40 and 84?

How to find the GCF of 40 and 84?

What prime factors do 40 and 84 share?

How does the GCF reduce the fraction 40/84?

See Also

Number 1	Number 2	GCF
40	52	4
40	53	1
40	54	2
40	55	5
40	56	8
40	58	2
40	59	1
40	60	20
40	63	1
40	64	8
40	65	5
40	66	2
40	70	10
40	72	8
40	80	40
40	84	4
40	85	5
40	90	10
40	96	8
40	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10

Number 1	Number 2	GCF
40	52	4
40	53	1
40	54	2
40	55	5
40	56	8
40	58	2
40	59	1
40	60	20
40	63	1
40	64	8
40	65	5
40	66	2
40	70	10
40	72	8
40	80	40
40	84	4
40	85	5
40	90	10
40	96	8
40	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10

Number 1	Number 2	GCF
40	52	4
40	53	1
40	54	2
40	55	5
40	56	8
40	58	2
40	59	1
40	60	20
40	63	1
40	64	8
40	65	5
40	66	2
40	70	10
40	72	8
40	80	40
40	84	4
40	85	5
40	90	10
40	96	8
40	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10