GCF of 104 and 156

What is the GCF of 104 and 156?


GCF of 104 and 156

is 52

Formula How to

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What is the Greatest Common Factor of 104 and 156? 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 156 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 156.
    2, 2, 3, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    52

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 156.
    1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
  3. The biggest common factor number is the GCF value. Which is,
    52

GCF (Greatest Common Factor) of 104 and 156 is 52.

GCD (Greatest Common Divisor) of 104 and 156 is 52.

HCF (Highest Common Factor) of 104 and 156 is 52.

Number GCF LCM
104 & 151 1 15704
104 & 152 8 1976
104 & 153 1 15912
104 & 154 2 8008
104 & 155 1 16120
104 & 156 52 312
104 & 157 1 16328
104 & 158 2 8216
104 & 159 1 16536
104 & 160 8 2080
104 & 161 1 16744