GCF (HCF) of 40 and 144

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What is the Greatest Common Divisor of 40 and 144?

Answer

GCF (HCF) of 40 and 144 is
8

Common factors: 1, 2, 4, 8

8 divides both: 40 ÷ 8 = 5, 144 ÷ 8 = 18 — and 5 and 18 share no factor but 1, so no larger number divides both.

40 = 23 × 5

144 = 24 × 32

Prime40144Lowest power
2232423
3—32—
55——

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

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
40648
40655
40662
407010
40728
408040
40844
40855
409010
40968
4010020
4011010
4012040
401255
4013010
401448
401555
4016040
401655
4018020
4021010
4022020
4024040
402455
4025010
4026020
402655
402755
4031010
403155

FAQ

What is the Greatest Common Divisor of 40 and 144?

GCF (HCF) of 40 and 144 is 8

How to find the GCF of 40 and 144?

You can find the GCF of 40 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 144 is 8.

What prime factors do 40 and 144 share?

The prime factorizations of 40 and 144 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/144?

Divide the numerator and the denominator by the GCF 8: 40 ÷ 8 = 5 and 144 ÷ 8 = 18. So 40/144 in lowest terms is 5/18.

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