GCF of 100 and 423

What is the GCF of 100 and 423?

GCF of 100 and 423

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 100 and 423? 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 423 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 423.
    3, 3, 47
  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 423.
    1, 3, 9, 47, 141, 423
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
100 & 418 2 20900
100 & 419 1 41900
100 & 420 20 2100
100 & 421 1 42100
100 & 422 2 21100
100 & 423 1 42300
100 & 424 4 10600
100 & 425 25 1700
100 & 426 2 21300
100 & 427 1 42700
100 & 428 4 10700

GCF (Greatest Common Factor) of 100 and 423 is 1.

GCD (Greatest Common Divisor) of 100 and 423 is 1.

HCF (Highest Common Factor) of 100 and 423 is 1.
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