GCF of 108 and 404

What is the GCF of 108 and 404?


GCF of 108 and 404

is 4

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What is the Greatest Common Factor of 108 and 404? 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 108 and 404 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 108.
    2, 2, 3, 3, 3
  2. Find the prime factors of the second number 404.
    2, 2, 101
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 108.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  2. Find the factors of the second number 404.
    1, 2, 4, 101, 202, 404
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 108 and 404 is 4.

GCD (Greatest Common Divisor) of 108 and 404 is 4.

HCF (Highest Common Factor) of 108 and 404 is 4.

Number GCF LCM
108 & 399 3 14364
108 & 400 4 10800
108 & 401 1 43308
108 & 402 6 7236
108 & 403 1 43524
108 & 404 4 10908
108 & 405 27 1620
108 & 406 2 21924
108 & 407 1 43956
108 & 408 12 3672
108 & 409 1 44172