What is the greatest common factor of 18 24 and 36?

Answer 1

The greatest common factor of 18, 24, and 36 is 6.

The common factors of 18, 24, and 36 are 1, 2, 3, and 6.

Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that all the numbers have in common.

Methods:

One way to approach this is to look at the differences between 18, 24, and 36. The difference between 18 and 24 is 6 and the difference between 24 and 36 is 12. The greatest common factor of these numbers cannot be larger than the smallest difference between any two numbers and must be a factor of the difference. The smallest difference is 6. Since 18, 24, and 36 are divisible by 6, the greatest common factor is 6.

Another way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.

The factors of 18 are 1, 2, 3, 6, 9, and 18.

The factors of 25 are 1, 5, and 25.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The common factors are 1, 2, 3, and 6. Therefore, the greatest common factor is 6.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

The prime factors of 18 are 2, 3, and 3.

The prime factors of 24 are 2, 2, 2, and 3.

The prime factors of 36 are 2, 2, 3, and 3.

The prime factors in common are 2 and 3, so the greatest common factor is 2 x 3 = 6.

Answer 2

18 = 2*3*3 24 = 2*2*2*3 36=2*2*3*3 So their gcf = 2*3 = 6 The above factorisations show that the gcf can only have 2 or 3 (or both) as its factors. Factorisation of 18 shows that the highest power of 2 in the gfc is the first ie 2^1 = 2. Factorisation of 24 similarly shows that gcf fan only have 3^1 = 3 as a factor. So the gcf is 2^1*3^1 = 2*3 = 6

Answer 3

You can find the GCF (Greatest Common Factor) of any number(s) by simply breaking them down into prime factors and finding the common factors.

• 18 = 2 • 3 • 3
• 24 = 2 • 2 • 2 • 3
• 36 = 2 • 2 • 3 • 3

Now, either underline, circle, or in my case bold, the common numbers.

• 18 = 2 • 3 • 3
• 24 = 2 • 2 • 2 • 3
• 36 = 2 • 2 • 3 • 3

So when we pull out the bold numbers from each one we see, 2 • 3, 2 • 3, and 2 • 3 is the same to all three numbers.

It means our GCF for 18, 24, and 36 is 2 • 3 or 6.

Answer 4

6 is.

Answer 5

6.