GCF of 208 and 109

What is the GCF of 208 and 109?


GCF of 208 and 109

is 1

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What is the Greatest Common Factor of 208 and 109? 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 208 and 109 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 208.
    2, 2, 2, 2, 13
  2. Find the prime factors of the second number 109.
    109
  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 208.
    1, 2, 4, 8, 13, 16, 26, 52, 104, 208
  2. Find the factors of the second number 109.
    1, 109
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 208 and 109 is 1.

GCD (Greatest Common Divisor) of 208 and 109 is 1.

HCF (Highest Common Factor) of 208 and 109 is 1.

Number GCF LCM
208 & 104 104 208
208 & 105 1 21840
208 & 106 2 11024
208 & 107 1 22256
208 & 108 4 5616
208 & 109 1 22672
208 & 110 2 11440
208 & 111 1 23088
208 & 112 16 1456
208 & 113 1 23504
208 & 114 2 11856