GCF for 78 and 84

What is the Greatest common Divisor of 78 and 84?

Answer: GCF of 78 and 84 is 6

(Six)

Finding GCF for 78 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 78 and 84 is to list all factors for both numbers and pick the highest common one:

All factors of 78: 1, 2, 3, 6, 13, 26, 39, 78

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

So the Greatest Common Factor for 78 and 84 is 6

Finding GCF for 78 and 84 by Prime Factorization

The second method to find GCF for numbers 78 and 84 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 78: 2, 3, 13

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

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

Now we need to multiply them to find GCF: 2 × 3 = 6

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
6384
6484
65841
6684
67841
68844
69843
7084
71841
7284
73841
74842
75843
76844
77847
7884
79841
80844
8184
82842
83841
848484
85841
86842
87843
88844
89841
90846
91847
92844

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 78 and 84? (The answer is: 6). Select the first number (e.g. '78') and the second number (e.g. '84'). 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

FAQ

What is the Greatest common Divisor of 78 and 84?

GCF of 78 and 84 is 6