GCF of 12 and 204

What is the GCF of 12 and 204?


GCF of 12 and 204

is 12

Formula How to

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What is the Greatest Common Factor of 12 and 204? 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 12 and 204 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 12.
    2, 2, 3
  2. Find the prime factors of the second number 204.
    2, 2, 3, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    12

Factors Method:

  1. Find the factors of the first number 12.
    1, 2, 3, 4, 6, 12
  2. Find the factors of the second number 204.
    1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 12 and 204 is 12.

GCD (Greatest Common Divisor) of 12 and 204 is 12.

HCF (Highest Common Factor) of 12 and 204 is 12.

Number GCF LCM
12 & 199 1 2388
12 & 200 4 600
12 & 201 3 804
12 & 202 2 1212
12 & 203 1 2436
12 & 204 12 204
12 & 205 1 2460
12 & 206 2 1236
12 & 207 3 828
12 & 208 4 624
12 & 209 1 2508