GCF of 96 and 204

What is the GCF of 96 and 204?


GCF of 96 and 204

is 12

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What is the Greatest Common Factor of 96 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 96 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 96.
    2, 2, 2, 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 96.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  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

Number GCF LCM
96 & 199 1 19104
96 & 200 8 2400
96 & 201 3 6432
96 & 202 2 9696
96 & 203 1 19488
96 & 204 12 1632
96 & 205 1 19680
96 & 206 2 9888
96 & 207 3 6624
96 & 208 16 1248
96 & 209 1 20064

GCF (Greatest Common Factor) of 96 and 204 is 12.

GCD (Greatest Common Divisor) of 96 and 204 is 12.

HCF (Highest Common Factor) of 96 and 204 is 12.