Feedback form

GCF (HCF) of 50 and 210

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 50 and 210?

Answer

GCF (HCF) of 50 and 210 is

10

Common factors: 1, 2, 5, 10

10 divides both: 50 ÷ 10 = 5, 210 ÷ 10 = 21 — and 5 and 21 share no factor but 1, so no larger number divides both.

50 = 2 × 5²

210 = 2 × 3 × 5 × 7

Prime	50	210	Lowest power
2	2	2	2
3	—	3	—
5	5²	5	5
7	—	7	—

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

GCF = 2 × 5 = 10

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/50--210

<a href="https://calculat.io/en/number/greatest-common-factor-of/50--210">What is the GCF (HCF) of 50 and 210 - Calculatio</a>

Facebook

Twitter

Telegram

WhatsApp

Viber

Email

What is the GCF (HCF) of 50 and 210. The GCF of 50 and 210 is 10 — 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/50--210/generated.jpg

GCF Table

Number 1	Number 2	GCF
50	59	1
50	60	10
50	65	5
50	70	10
50	72	2
50	75	25
50	80	10
50	88	2
50	90	10
50	100	50
50	115	5
50	145	5
50	150	50
50	175	25
50	180	10
50	210	10
50	220	10
50	280	10
50	295	5
50	300	50
50	310	10
50	315	5
50	325	25
50	330	10
50	340	10
50	360	10
50	365	5
50	380	10
50	390	10
50	395	5

FAQ

What is the Greatest Common Divisor of 50 and 210?

GCF (HCF) of 50 and 210 is 10

How to find the GCF of 50 and 210?

You can find the GCF of 50 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 210 is 10.

What prime factors do 50 and 210 share?

The prime factorizations of 50 and 210 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/210?

Divide the numerator and the denominator by the GCF 10: 50 ÷ 10 = 5 and 210 ÷ 10 = 21. So 50/210 in lowest terms is 5/21.