GCF of 308 and 84

What is the GCF of 308 and 84?


GCF of 308 and 84

is 28

Formula How to

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What is the Greatest Common Factor of 308 and 84? 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 308 and 84 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 308.
    2, 2, 7, 11
  2. Find the prime factors of the second number 84.
    2, 2, 3, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    28

Factors Method:

  1. Find the factors of the first number 308.
    1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
  2. Find the factors of the second number 84.
    1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
  3. The biggest common factor number is the GCF value. Which is,
    28

GCF (Greatest Common Factor) of 308 and 84 is 28.

GCD (Greatest Common Divisor) of 308 and 84 is 28.

HCF (Highest Common Factor) of 308 and 84 is 28.

Number GCF LCM
308 & 79 1 24332
308 & 80 4 6160
308 & 81 1 24948
308 & 82 2 12628
308 & 83 1 25564
308 & 84 28 924
308 & 85 1 26180
308 & 86 2 13244
308 & 87 1 26796
308 & 88 44 616
308 & 89 1 27412