GCF (HCF) of 40 and 400

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 40 and 400?

Answer

GCF (HCF) of 40 and 400 is
40

Common factors: 1, 2, 4, 5, 8, 10, 20, 40

40 divides 400 (400 ÷ 40 = 10), so the GCF is the smaller number itself.

40 = 23 × 5

400 = 24 × 52

Prime40400Lowest power
2232423
55525

GCF = 23 × 5 = 40

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
401555
4016040
401655
4018020
4021010
4022020
4024040
402455
4025010
4026020
402655
402755
4031010
403155
4032040
403255
4033010
403355
4034020
403455
4035010
4040040
404055
4041010
4043010
404355
404455
4046020
404655
404755

FAQ

What is the Greatest Common Divisor of 40 and 400?

GCF (HCF) of 40 and 400 is 40

How to find the GCF of 40 and 400?

You can find the GCF of 40 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 400 is 40.

What prime factors do 40 and 400 share?

The prime factorizations of 40 and 400 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/400?

Divide the numerator and the denominator by the GCF 40: 40 ÷ 40 = 1 and 400 ÷ 40 = 10. So 40/400 in lowest terms is 1/10.

See Also