GCF of 104 and 212

What is the GCF of 104 and 212?


GCF of 104 and 212

is 4

Formula How to

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What is the Greatest Common Factor of 104 and 212? 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 212 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 212.
    2, 2, 53
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

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 212.
    1, 2, 4, 53, 106, 212
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 104 and 212 is 4.

GCD (Greatest Common Divisor) of 104 and 212 is 4.

HCF (Highest Common Factor) of 104 and 212 is 4.

Number GCF LCM
104 & 207 1 21528
104 & 208 104 208
104 & 209 1 21736
104 & 210 2 10920
104 & 211 1 21944
104 & 212 4 5512
104 & 213 1 22152
104 & 214 2 11128
104 & 215 1 22360
104 & 216 8 2808
104 & 217 1 22568