GCF for 144 and 216

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 144 and 216?

Answer

GCF of 144 and 216 is 72

(Seventy-two)

Finding GCF for 144 and 216 using all factors (divisors) listing

The first method to find GCF for numbers 144 and 216 is to list all factors for both numbers and pick the highest common one:

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

All factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

So the Greatest Common Factor for 144 and 216 is 72

Finding GCF for 144 and 216 by Prime Factorization

The second method to find GCF for numbers 144 and 216 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

All Prime Factors of 216: 2, 2, 2, 3, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 × 3 = 72

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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 144 and 216? (The answer is: 72). Select the first number (e.g. '144') and the second number (e.g. '216'). 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
1292163
1302162
1312161
13221612
1332161
1342162
13521627
1362168
1372161
1382166
1392161
1402164
1412163
1422162
1432161
14421672
1452161
1462162
1472163
1482164
1492161
1502166
1512161
1522168
1532169
1542162
1552161
15621612
1572161
1582162

FAQ

What is the Greatest Common Divisor of 144 and 216?

GCF of 144 and 216 is 72

How to find the GCF of 144 and 216?

You can find the GCF of 144 and 216 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 216 is 72.

See Also