GCF of 100 and 83

What is the GCF of 100 and 83?

GCF of 100 and 83

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 100 and 83? 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 100 and 83 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 100.
    2, 2, 5, 5
  2. Find the prime factors of the second number 83.
    83
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 100.
    1, 2, 4, 5, 10, 20, 25, 50, 100
  2. Find the factors of the second number 83.
    1, 83
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 100 and 83 is 1.

GCD (Greatest Common Divisor) of 100 and 83 is 1.

HCF (Highest Common Factor) of 100 and 83 is 1.

Number GCF LCM
100 & 78 2 3900
100 & 79 1 7900
100 & 80 20 400
100 & 81 1 8100
100 & 82 2 4100
100 & 83 1 8300
100 & 84 4 2100
100 & 85 5 1700
100 & 86 2 4300
100 & 87 1 8700
100 & 88 4 2200
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