GCF for 78 and 144

What is the Greatest common Divisor of 78 and 144?

Answer: GCF of 78 and 144 is 6

(Six)

Finding GCF for 78 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 78 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 78 and 144 is 6

Finding GCF for 78 and 144 by Prime Factorization

The second method to find GCF for numbers 78 and 144 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 144: 2, 2, 2, 2, 3, 3

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

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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 78 and 144? (The answer is: 6). Select the first number (e.g. '78') and the second number (e.g. '144'). 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

GCF Table

Number 1Number 2GCF
631449
64144
651441
661446
671441
681444
691443
701442
711441
7214472
731441
741442
751443
761444
771441
78144
791441
8014416
811449
821442
831441
8414412
851441
861442
871443
881448
891441
9014418
911441
921444

FAQ

What is the Greatest common Divisor of 78 and 144?

GCF of 78 and 144 is 6