Greatest Common Factor of 72 and 148
GCF(72, 148) = 4, Greatest common factor of 72 and 148 is 4. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 72 and 148. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 72 and 148 by prime factorization method
We will first find the prime factorization of 72 and 148.
Prime Factorization of 72 is 1, 2, 2, 2, 3, 3 and Prime Factorization of 148 is 1, 2, 2, 37.
- Factorize\( (72) = \) \(1\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (148) = \) \(1\times 2\times 2\times 37\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(72, 148) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 72 and 148 by matching factors method
List of positive integers factors of 72 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
List of positive integers factors of 148 leaving a remainder zero is 1, 2, 4, 37, 74, 148
As you can see, 4 is the greatest and common number that 72 and 148 divides into.
So the greatest common factor 72 and 148 is 4.
\(GCF(72, 148) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
