GCF of 102 and 204

What is the GCF of 102 and 204?


GCF of 102 and 204

is 102

Formula How to

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What is the Greatest Common Factor of 102 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 102 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 102.
    2, 3, 17
  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,
    102

Factors Method:

  1. Find the factors of the first number 102.
    1, 2, 3, 6, 17, 34, 51, 102
  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,
    102

Number GCF LCM
102 & 199 1 20298
102 & 200 2 10200
102 & 201 3 6834
102 & 202 2 10302
102 & 203 1 20706
102 & 204 102 204
102 & 205 1 20910
102 & 206 2 10506
102 & 207 3 7038
102 & 208 2 10608
102 & 209 1 21318

GCF (Greatest Common Factor) of 102 and 204 is 102.

GCD (Greatest Common Divisor) of 102 and 204 is 102.

HCF (Highest Common Factor) of 102 and 204 is 102.