GCF of 105 and 126 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 105 and 126?

Answer

GCF of 105 and 126 is

(Twenty-one)

Finding GCF for 105 and 126 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 126 is to list all factors for both numbers and pick the highest common one:

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

All factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

So the Greatest Common Factor for 105 and 126 is 21

Finding GCF for 105 and 126 by Prime Factorization

The second method to find GCF for numbers 105 and 126 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 105: 3, 5, 7

All Prime Factors of 126: 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 105 and 126? (The answer is: 21). Select the first number (e.g. '105') and the second number (e.g. '126'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

GCF Table

Number 1	Number 2	GCF
105	111	3
105	112	7
105	113	1
105	114	3
105	115	5
105	116	1
105	117	3
105	118	1
105	119	7
105	120	15
105	121	1
105	122	1
105	123	3
105	124	1
105	125	5
105	126	21
105	127	1
105	128	1
105	129	3
105	130	5
105	131	1
105	132	3
105	133	7
105	134	1
105	135	15
105	136	1
105	137	1
105	138	3
105	139	1
105	140	35

FAQ

What is the Greatest Common Divisor of 105 and 126?

GCF 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 of 105 and 126 (Greatest Common Factor)

What is the Greatest Common Divisor of 105 and 126?

Finding GCF for 105 and 126 using all factors (divisors) listing

Finding GCF for 105 and 126 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

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	111	3
105	112	7
105	113	1
105	114	3
105	115	5
105	116	1
105	117	3
105	118	1
105	119	7
105	120	15
105	121	1
105	122	1
105	123	3
105	124	1
105	125	5
105	126	21
105	127	1
105	128	1
105	129	3
105	130	5
105	131	1
105	132	3
105	133	7
105	134	1
105	135	15
105	136	1
105	137	1
105	138	3
105	139	1
105	140	35

Number 1	Number 2	GCF
105	111	3
105	112	7
105	113	1
105	114	3
105	115	5
105	116	1
105	117	3
105	118	1
105	119	7
105	120	15
105	121	1
105	122	1
105	123	3
105	124	1
105	125	5
105	126	21
105	127	1
105	128	1
105	129	3
105	130	5
105	131	1
105	132	3
105	133	7
105	134	1
105	135	15
105	136	1
105	137	1
105	138	3
105	139	1
105	140	35

Number 1	Number 2	GCF
105	111	3
105	112	7
105	113	1
105	114	3
105	115	5
105	116	1
105	117	3
105	118	1
105	119	7
105	120	15
105	121	1
105	122	1
105	123	3
105	124	1
105	125	5
105	126	21
105	127	1
105	128	1
105	129	3
105	130	5
105	131	1
105	132	3
105	133	7
105	134	1
105	135	15
105	136	1
105	137	1
105	138	3
105	139	1
105	140	35