GCF (HCF) of 50 and 825

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 50 and 825?

Answer

GCF (HCF) of 50 and 825 is

Common factors: 1, 5, 25

25 divides both: 50 ÷ 25 = 2, 825 ÷ 25 = 33 — and 2 and 33 share no factor but 1, so no larger number divides both.

50 = 2 × 5²

825 = 3 × 5² × 11

Prime	50	825	Lowest power
2	2	—	—
3	—	3	—
5	5²	5²	5²
11	—	11	—

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

GCF = 5² = 25

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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	365	5
50	380	10
50	390	10
50	395	5
50	415	5
50	430	10
50	435	5
50	440	10
50	460	10
50	465	5
50	470	10
50	490	10
50	495	5
50	500	50
50	825	25

FAQ

What is the Greatest Common Divisor of 50 and 825?

GCF (HCF) of 50 and 825 is 25

How to find the GCF of 50 and 825?

You can find the GCF of 50 and 825 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 825 is 25.

What prime factors do 50 and 825 share?

The prime factorizations of 50 and 825 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/825?

Divide the numerator and the denominator by the GCF 25: 50 ÷ 25 = 2 and 825 ÷ 25 = 33. So 50/825 in lowest terms is 2/33.

GCF (HCF) of 50 and 825

What is the Greatest Common Divisor of 50 and 825?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 50 and 825?

How to find the GCF of 50 and 825?

What prime factors do 50 and 825 share?

How does the GCF reduce the fraction 50/825?

See Also

Number 1	Number 2	GCF
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	365	5
50	380	10
50	390	10
50	395	5
50	415	5
50	430	10
50	435	5
50	440	10
50	460	10
50	465	5
50	470	10
50	490	10
50	495	5
50	500	50
50	825	25

Number 1	Number 2	GCF
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	365	5
50	380	10
50	390	10
50	395	5
50	415	5
50	430	10
50	435	5
50	440	10
50	460	10
50	465	5
50	470	10
50	490	10
50	495	5
50	500	50
50	825	25

Number 1	Number 2	GCF
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	365	5
50	380	10
50	390	10
50	395	5
50	415	5
50	430	10
50	435	5
50	440	10
50	460	10
50	465	5
50	470	10
50	490	10
50	495	5
50	500	50
50	825	25