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GCF of 78 and 144 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

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

See Also

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What is the GCF of 78 and 144. The GCF of 78 and 144 is 6 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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GCF Table

Number 1Number 2GCF
781293
7813026
781311
781326
781331
781342
781353
781362
781371
781386
781391
781402
781413
781422
7814313
781446
781451
781462
781473
781482
781491
781506
781511
781522
781533
781542
781551
7815678
781571
781582

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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and