GCF (HCF) of 40 and 100

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 40 and 100?

Answer

GCF (HCF) of 40 and 100 is

Common factors: 1, 2, 4, 5, 10, 20

20 divides both: 40 ÷ 20 = 2, 100 ÷ 20 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

40 = 2³ × 5

100 = 2² × 5²

Prime	40	100	Lowest power
2	2³	2²	2²
5	5	5²	5

GCF = 2² × 5 = 20

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	135	5
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10
40	220	20
40	240	40
40	245	5

FAQ

What is the Greatest Common Divisor of 40 and 100?

GCF (HCF) of 40 and 100 is 20

How to find the GCF of 40 and 100?

You can find the GCF of 40 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 100 is 20.

What prime factors do 40 and 100 share?

The prime factorizations of 40 and 100 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/100?

Divide the numerator and the denominator by the GCF 20: 40 ÷ 20 = 2 and 100 ÷ 20 = 5. So 40/100 in lowest terms is 2/5.

GCF (HCF) of 40 and 100

What is the Greatest Common Divisor of 40 and 100?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 40 and 100?

How to find the GCF of 40 and 100?

What prime factors do 40 and 100 share?

How does the GCF reduce the fraction 40/100?

See Also

Number 1	Number 2	GCF
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	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	135	5
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10
40	220	20
40	240	40
40	245	5

Number 1	Number 2	GCF
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	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	135	5
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10
40	220	20
40	240	40
40	245	5

Number 1	Number 2	GCF
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	100	20
40	110	10
40	120	40
40	125	5
40	130	10
40	135	5
40	144	8
40	155	5
40	160	40
40	165	5
40	180	20
40	210	10
40	220	20
40	240	40
40	245	5