GCF of 17 and 118

What is the GCF of 17 and 118?

GCF of 17 and 118

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 17 and 118? 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 17 and 118 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 17.
    17
  2. Find the prime factors of the second number 118.
    2, 59
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 17.
    1, 17
  2. Find the factors of the second number 118.
    1, 2, 59, 118
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
17 & 113 1 1921
17 & 114 1 1938
17 & 115 1 1955
17 & 116 1 1972
17 & 117 1 1989
17 & 118 1 2006
17 & 119 17 119
17 & 120 1 2040
17 & 121 1 2057
17 & 122 1 2074
17 & 123 1 2091

GCF (Greatest Common Factor) of 17 and 118 is 1.

GCD (Greatest Common Divisor) of 17 and 118 is 1.

HCF (Highest Common Factor) of 17 and 118 is 1.
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