GCF of 130 and 104

What is the GCF of 130 and 104?


GCF of 130 and 104

is 26

Formula How to

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What is the Greatest Common Factor of 130 and 104? 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 130 and 104 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 130.
    2, 5, 13
  2. Find the prime factors of the second number 104.
    2, 2, 2, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    26

Factors Method:

  1. Find the factors of the first number 130.
    1, 2, 5, 10, 13, 26, 65, 130
  2. Find the factors of the second number 104.
    1, 2, 4, 8, 13, 26, 52, 104
  3. The biggest common factor number is the GCF value. Which is,
    26

GCF (Greatest Common Factor) of 130 and 104 is 26.

GCD (Greatest Common Divisor) of 130 and 104 is 26.

HCF (Highest Common Factor) of 130 and 104 is 26.

Number GCF LCM
130 & 99 1 12870
130 & 100 10 1300
130 & 101 1 13130
130 & 102 2 6630
130 & 103 1 13390
130 & 104 26 520
130 & 105 5 2730
130 & 106 2 6890
130 & 107 1 13910
130 & 108 2 7020
130 & 109 1 14170