GCF (HCF) of 85 and 120

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 85 and 120?

Answer

GCF (HCF) of 85 and 120 is

Common factors: 1, 5

5 divides both: 85 ÷ 5 = 17, 120 ÷ 5 = 24 — and 17 and 24 share no factor but 1, so no larger number divides both.

85 = 5 × 17

120 = 2³ × 3 × 5

Prime	85	120	Lowest power
2	—	2³	—
3	—	3	—
5	5	5	5
17	17	—	—

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

GCF = 5

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
85	105	5
85	106	1
85	107	1
85	108	1
85	109	1
85	110	5
85	111	1
85	112	1
85	113	1
85	114	1
85	115	5
85	116	1
85	117	1
85	118	1
85	119	17
85	120	5
85	121	1
85	122	1
85	123	1
85	124	1
85	125	5
85	126	1
85	127	1
85	128	1
85	129	1
85	130	5
85	131	1
85	132	1
85	133	1
85	134	1

FAQ

What is the Greatest Common Divisor of 85 and 120?

GCF (HCF) of 85 and 120 is 5

How to find the GCF of 85 and 120?

You can find the GCF of 85 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 85 and 120 is 5.

What prime factors do 85 and 120 share?

The prime factorizations of 85 and 120 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 85/120?

Divide the numerator and the denominator by the GCF 5: 85 ÷ 5 = 17 and 120 ÷ 5 = 24. So 85/120 in lowest terms is 17/24.

GCF (HCF) of 85 and 120

What is the Greatest Common Divisor of 85 and 120?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 85 and 120?

How to find the GCF of 85 and 120?

What prime factors do 85 and 120 share?

How does the GCF reduce the fraction 85/120?

See Also

Number 1	Number 2	GCF
85	105	5
85	106	1
85	107	1
85	108	1
85	109	1
85	110	5
85	111	1
85	112	1
85	113	1
85	114	1
85	115	5
85	116	1
85	117	1
85	118	1
85	119	17
85	120	5
85	121	1
85	122	1
85	123	1
85	124	1
85	125	5
85	126	1
85	127	1
85	128	1
85	129	1
85	130	5
85	131	1
85	132	1
85	133	1
85	134	1

Number 1	Number 2	GCF
85	105	5
85	106	1
85	107	1
85	108	1
85	109	1
85	110	5
85	111	1
85	112	1
85	113	1
85	114	1
85	115	5
85	116	1
85	117	1
85	118	1
85	119	17
85	120	5
85	121	1
85	122	1
85	123	1
85	124	1
85	125	5
85	126	1
85	127	1
85	128	1
85	129	1
85	130	5
85	131	1
85	132	1
85	133	1
85	134	1

Number 1	Number 2	GCF
85	105	5
85	106	1
85	107	1
85	108	1
85	109	1
85	110	5
85	111	1
85	112	1
85	113	1
85	114	1
85	115	5
85	116	1
85	117	1
85	118	1
85	119	17
85	120	5
85	121	1
85	122	1
85	123	1
85	124	1
85	125	5
85	126	1
85	127	1
85	128	1
85	129	1
85	130	5
85	131	1
85	132	1
85	133	1
85	134	1