GCF of 117 and 9

What is the GCF of 117 and 9?


GCF of 117 and 9

is 9

Formula How to

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What is the Greatest Common Factor of 117 and 9? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 117 and 9 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 117.
    3, 3, 13
  2. Find the prime factors of the second number 9.
    3, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

Factors Method:

  1. Find the factors of the first number 117.
    1, 3, 9, 13, 39, 117
  2. Find the factors of the second number 9.
    1, 3, 9
  3. The biggest common factor number is the GCF value. Which is,
    9

GCF (Greatest Common Factor) of 117 and 9 is 9.

GCD (Greatest Common Divisor) of 117 and 9 is 9.

HCF (Highest Common Factor) of 117 and 9 is 9.

Number GCF LCM
117 & 4 1 468
117 & 5 1 585
117 & 6 3 234
117 & 7 1 819
117 & 8 1 936
117 & 9 9 117
117 & 10 1 1170
117 & 11 1 1287
117 & 12 3 468
117 & 13 13 117
117 & 14 1 1638