GCF for 105 and 126

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 105 and 126?

Answer: GCF of 105 and 126 is 21

(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

See Also

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

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
9012618
911267
921262
931263
941262
951261
961266
971261
9812614
991269
1001262
1011261
1021266
1031261
1041262
10512621
1061262
1071261
10812618
1091261
1101262
1111263
11212614
1131261
1141266
1151261
1161262
1171269
1181262
1191267

FAQ

What is the Greatest common Divisor of 105 and 126?

GCF of 105 and 126 is 21

See Also