GCF of 104 and 123

What is the GCF of 104 and 123?


GCF of 104 and 123

is 1

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What is the Greatest Common Factor of 104 and 123? 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 104 and 123 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 104.
    2, 2, 2, 13
  2. Find the prime factors of the second number 123.
    3, 41
  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 104.
    1, 2, 4, 8, 13, 26, 52, 104
  2. Find the factors of the second number 123.
    1, 3, 41, 123
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 104 and 123 is 1.

GCD (Greatest Common Divisor) of 104 and 123 is 1.

HCF (Highest Common Factor) of 104 and 123 is 1.

Number GCF LCM
104 & 118 2 6136
104 & 119 1 12376
104 & 120 8 1560
104 & 121 1 12584
104 & 122 2 6344
104 & 123 1 12792
104 & 124 4 3224
104 & 125 1 13000
104 & 126 2 6552
104 & 127 1 13208
104 & 128 8 1664