GCF of 338 and 9

What is the GCF of 338 and 9?


GCF of 338 and 9

is 1

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What is the Greatest Common Factor of 338 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 338 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 338.
    2, 13, 13
  2. Find the prime factors of the second number 9.
    3, 3
  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 338.
    1, 2, 13, 26, 169, 338
  2. Find the factors of the second number 9.
    1, 3, 9
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 338 and 9 is 1.

GCD (Greatest Common Divisor) of 338 and 9 is 1.

HCF (Highest Common Factor) of 338 and 9 is 1.

Number GCF LCM
338 & 4 2 676
338 & 5 1 1690
338 & 6 2 1014
338 & 7 1 2366
338 & 8 2 1352
338 & 9 1 3042
338 & 10 2 1690
338 & 11 1 3718
338 & 12 2 2028
338 & 13 13 338
338 & 14 2 2366