Greatest Common Factor of 144 and 5429
GCF(144, 5429) = 1, Greatest common factor of 144 and 5429 is 1. 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 144 and 5429. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 144 and 5429 by prime factorization method
We will first find the prime factorization of 144 and 5429.
Prime Factorization of 144 is 1, 2, 2, 2, 2, 3, 3 and Prime Factorization of 5429 is 1, 61, 89.
- Factorize\( (144) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (5429) = \) \(1\times 61\times 89\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(144, 5429) = 1\times 1 = 1\).
Greatest Common Factor of 144 and 5429 by matching factors method
List of positive integers factors of 144 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
List of positive integers factors of 5429 leaving a remainder zero is 1, 61, 89, 5429
As you can see, 1 is the greatest and common number that 144 and 5429 divides into.
So the greatest common factor 144 and 5429 is 1.
\(GCF(144, 5429) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
