GCF of 123 and 9

What is the GCF of 123 and 9?

GCF of 123 and 9

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 123 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 123 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 123.
    3, 41
  2. Find the prime factors of the second number 9.
    3, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 123.
    1, 3, 41, 123
  2. Find the factors of the second number 9.
    1, 3, 9
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 123 and 9 is 3.

GCD (Greatest Common Divisor) of 123 and 9 is 3.

HCF (Highest Common Factor) of 123 and 9 is 3.

Number GCF LCM
123 & 4 1 492
123 & 5 1 615
123 & 6 3 246
123 & 7 1 861
123 & 8 1 984
123 & 9 3 369
123 & 10 1 1230
123 & 11 1 1353
123 & 12 3 492
123 & 13 1 1599
123 & 14 1 1722
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