GCF of 84 and 126 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 84 and 126?

Answer

GCF of 84 and 126 is 42

(Forty-two)

Finding GCF for 84 and 126 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 126 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

So the Greatest Common Factor for 84 and 126 is 42

Finding GCF for 84 and 126 by Prime Factorization

The second method to find GCF for numbers 84 and 126 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 7

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

As we can see there are Prime Factors common to both numbers: 2, 3, 7

Now we need to multiply them to find GCF: 2 × 3 × 7 = 42

Related Calculations

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 84 and 126? (The answer is: 42). Select the first number (e.g. '84') 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
841113
8411228
841131
841146
841151
841164
841173
841182
841197
8412012
841211
841222
841233
841244
841251
8412642
841271
841284
841293
841302
841311
8413212
841337
841342
841353
841364
841371
841386
841391
8414028

FAQ

What is the Greatest Common Divisor of 84 and 126?

GCF of 84 and 126 is 42

How to find the GCF of 84 and 126?

You can find the GCF of 84 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 126 is 42.

See Also