GCF of 113 and 309

What is the GCF of 113 and 309?


GCF of 113 and 309

is 1

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What is the Greatest Common Factor of 113 and 309? 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 113 and 309 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 113.
    113
  2. Find the prime factors of the second number 309.
    3, 103
  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 113.
    1, 113
  2. Find the factors of the second number 309.
    1, 3, 103, 309
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 113 and 309 is 1.

GCD (Greatest Common Divisor) of 113 and 309 is 1.

HCF (Highest Common Factor) of 113 and 309 is 1.

Number GCF LCM
113 & 304 1 34352
113 & 305 1 34465
113 & 306 1 34578
113 & 307 1 34691
113 & 308 1 34804
113 & 309 1 34917
113 & 310 1 35030
113 & 311 1 35143
113 & 312 1 35256
113 & 313 1 35369
113 & 314 1 35482