GCF for 76 and 114

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 76 and 114?

Answer: GCF of 76 and 114 is 38

(Thirty-eight)

Finding GCF for 76 and 114 using all factors (divisors) listing

The first method to find GCF for numbers 76 and 114 is to list all factors for both numbers and pick the highest common one:

All factors of 76: 1, 2, 4, 19, 38, 76

All factors of 114: 1, 2, 3, 6, 19, 38, 57, 114

So the Greatest Common Factor for 76 and 114 is 38

Finding GCF for 76 and 114 by Prime Factorization

The second method to find GCF for numbers 76 and 114 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 76: 2, 2, 19

All Prime Factors of 114: 2, 3, 19

As we can see there are Prime Factors common to both numbers: 2, 19

Now we need to multiply them to find GCF: 2 × 19 = 38

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 76 and 114? (The answer is: 38). Select the first number (e.g. '76') and the second number (e.g. '114'). 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
611141
621142
631143
641142
651141
661146
671141
681142
691143
701142
711141
721146
731141
741142
751143
7611438
771141
781146
791141
801142
811143
821142
831141
841146
851141
861142
871143
881142
891141
901146

FAQ

What is the Greatest common Divisor of 76 and 114?

GCF of 76 and 114 is 38

See Also