Greatest Common Factor of 88 and 10470
GCF(88, 10470) = 2, Greatest common factor of 88 and 10470 is 2. 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 88 and 10470. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 88 and 10470 by prime factorization method
We will first find the prime factorization of 88 and 10470.
Prime Factorization of 88 is 1, 2, 2, 2, 11 and Prime Factorization of 10470 is 1, 2, 3, 5, 349.
- Factorize\( (88) = \) \(1\times 2\times 2\times 2\times 11\)
- Factorize\( (10470) = \) \(1\times 2\times 3\times 5\times 349\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(88, 10470) = 1\times 2 = 2\).
Greatest Common Factor of 88 and 10470 by matching factors method
List of positive integers factors of 88 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 44, 88
List of positive integers factors of 10470 leaving a remainder zero is 1, 2, 3, 5, 6, 10, 15, 30, 349, 698, 1047, 1745, 2094, 3490, 5235, 10470
As you can see, 2 is the greatest and common number that 88 and 10470 divides into.
So the greatest common factor 88 and 10470 is 2.
\(GCF(88, 10470) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
