GCF (HCF) of 105 and 126

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 105 and 126?

Answer

GCF (HCF) of 105 and 126 is

Common factors: 1, 3, 7, 21

21 divides both: 105 ÷ 21 = 5, 126 ÷ 21 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

105 = 3 × 5 × 7

126 = 2 × 3² × 7

Prime	105	126	Lowest power
2	—	2	—
3	3	3²	3
5	5	—	—
7	7	7	7

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

GCF = 3 × 7 = 21

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
105	120	15
105	126	21
105	130	5
105	140	35
105	147	21
105	150	15
105	154	7
105	165	15
105	170	5
105	175	35
105	189	21
105	195	15
105	225	15
105	245	35
105	770	35

FAQ

What is the Greatest Common Divisor of 105 and 126?

GCF (HCF) of 105 and 126 is 21

How to find the GCF of 105 and 126?

You can find the GCF of 105 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 105 and 126 is 21.

What prime factors do 105 and 126 share?

The prime factorizations of 105 and 126 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

How does the GCF reduce the fraction 105/126?

Divide the numerator and the denominator by the GCF 21: 105 ÷ 21 = 5 and 126 ÷ 21 = 6. So 105/126 in lowest terms is 5/6.

GCF (HCF) of 105 and 126

What is the Greatest Common Divisor of 105 and 126?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 105 and 126?

How to find the GCF of 105 and 126?

What prime factors do 105 and 126 share?

How does the GCF reduce the fraction 105/126?

See Also

Number 1	Number 2	GCF
105	120	15
105	126	21
105	130	5
105	140	35
105	147	21
105	150	15
105	154	7
105	165	15
105	170	5
105	175	35
105	189	21
105	195	15
105	225	15
105	245	35
105	770	35

Number 1	Number 2	GCF
105	120	15
105	126	21
105	130	5
105	140	35
105	147	21
105	150	15
105	154	7
105	165	15
105	170	5
105	175	35
105	189	21
105	195	15
105	225	15
105	245	35
105	770	35

Number 1	Number 2	GCF
105	120	15
105	126	21
105	130	5
105	140	35
105	147	21
105	150	15
105	154	7
105	165	15
105	170	5
105	175	35
105	189	21
105	195	15
105	225	15
105	245	35
105	770	35