Feedback form

GCF (HCF) of 10 and 38

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 10 and 38?

Answer

GCF (HCF) of 10 and 38 is

2

Common factors: 1, 2

2 divides both: 10 ÷ 2 = 5, 38 ÷ 2 = 19 — and 5 and 19 share no factor but 1, so no larger number divides both.

10 = 2 × 5

38 = 2 × 19

Prime	10	38	Lowest power
2	2	2	2
5	5	—	—
19	—	19	—

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

GCF = 2

More with these numbers

Found an error in the calculation or the information?

Related Calculations

See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

Share This Calculation

Print

https://calculat.io/en/number/greatest-common-factor-of/10--38

<a href="https://calculat.io/en/number/greatest-common-factor-of/10--38">What is the GCF (HCF) of 10 and 38 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 10 and 38. The GCF of 10 and 38 is 2 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/10--38/generated.jpg

GCF Table

Number 1	Number 2	GCF
10	22	2
10	23	1
10	24	2
10	25	5
10	26	2
10	27	1
10	28	2
10	29	1
10	30	10
10	32	2
10	33	1
10	34	2
10	35	5
10	36	2
10	37	1
10	38	2
10	39	1
10	40	10
10	43	1
10	44	2
10	45	5
10	50	10
10	51	1
10	52	2
10	53	1
10	55	5
10	56	2
10	59	1
10	60	10
10	65	5

FAQ

What is the Greatest Common Divisor of 10 and 38?

GCF (HCF) of 10 and 38 is 2

How to find the GCF of 10 and 38?

You can find the GCF of 10 and 38 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 38 is 2.

What prime factors do 10 and 38 share?

The prime factorizations of 10 and 38 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/38?

Divide the numerator and the denominator by the GCF 2: 10 ÷ 2 = 5 and 38 ÷ 2 = 19. So 10/38 in lowest terms is 5/19.