GCF (HCF) of 144 and 160

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 144 and 160?

Answer

GCF (HCF) of 144 and 160 is

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

16 divides both: 144 ÷ 16 = 9, 160 ÷ 16 = 10 — and 9 and 10 share no factor but 1, so no larger number divides both.

144 = 2⁴ × 3²

160 = 2⁵ × 5

Prime	144	160	Lowest power
2	2⁴	2⁵	2⁴
3	3²	—	—
5	—	5	—

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

GCF = 2⁴ = 16

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
144	145	1
144	146	2
144	147	3
144	148	4
144	149	1
144	150	6
144	151	1
144	152	8
144	153	9
144	154	2
144	155	1
144	156	12
144	157	1
144	158	2
144	159	3
144	160	16
144	161	1
144	162	18
144	163	1
144	164	4
144	165	3
144	166	2
144	167	1
144	168	24
144	169	1
144	170	2
144	171	9
144	172	4
144	173	1
144	174	6

FAQ

What is the Greatest Common Divisor of 144 and 160?

GCF (HCF) of 144 and 160 is 16

How to find the GCF of 144 and 160?

You can find the GCF of 144 and 160 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 160 is 16.

What prime factors do 144 and 160 share?

The prime factorizations of 144 and 160 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 144/160?

Divide the numerator and the denominator by the GCF 16: 144 ÷ 16 = 9 and 160 ÷ 16 = 10. So 144/160 in lowest terms is 9/10.

GCF (HCF) of 144 and 160

What is the Greatest Common Divisor of 144 and 160?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 144 and 160?

How to find the GCF of 144 and 160?

What prime factors do 144 and 160 share?

How does the GCF reduce the fraction 144/160?

See Also

Number 1	Number 2	GCF
144	145	1
144	146	2
144	147	3
144	148	4
144	149	1
144	150	6
144	151	1
144	152	8
144	153	9
144	154	2
144	155	1
144	156	12
144	157	1
144	158	2
144	159	3
144	160	16
144	161	1
144	162	18
144	163	1
144	164	4
144	165	3
144	166	2
144	167	1
144	168	24
144	169	1
144	170	2
144	171	9
144	172	4
144	173	1
144	174	6

Number 1	Number 2	GCF
144	145	1
144	146	2
144	147	3
144	148	4
144	149	1
144	150	6
144	151	1
144	152	8
144	153	9
144	154	2
144	155	1
144	156	12
144	157	1
144	158	2
144	159	3
144	160	16
144	161	1
144	162	18
144	163	1
144	164	4
144	165	3
144	166	2
144	167	1
144	168	24
144	169	1
144	170	2
144	171	9
144	172	4
144	173	1
144	174	6

Number 1	Number 2	GCF
144	145	1
144	146	2
144	147	3
144	148	4
144	149	1
144	150	6
144	151	1
144	152	8
144	153	9
144	154	2
144	155	1
144	156	12
144	157	1
144	158	2
144	159	3
144	160	16
144	161	1
144	162	18
144	163	1
144	164	4
144	165	3
144	166	2
144	167	1
144	168	24
144	169	1
144	170	2
144	171	9
144	172	4
144	173	1
144	174	6