GCF of 90 and 909

What is the GCF of 90 and 909?

GCF of 90 and 909

is 9

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Greatest Common Factor

What is the Greatest Common Factor of 90 and 909? 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 90 and 909 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 90.
    2, 3, 3, 5
  2. Find the prime factors of the second number 909.
    3, 3, 101
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

Factors Method:

  1. Find the factors of the first number 90.
    1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  2. Find the factors of the second number 909.
    1, 3, 9, 101, 303, 909
  3. The biggest common factor number is the GCF value. Which is,
    9

GCF (Greatest Common Factor) of 90 and 909 is 9.

GCD (Greatest Common Divisor) of 90 and 909 is 9.

HCF (Highest Common Factor) of 90 and 909 is 9.

Number GCF LCM
90 & 904 2 40680
90 & 905 5 16290
90 & 906 6 13590
90 & 907 1 81630
90 & 908 2 40860
90 & 909 9 9090
90 & 910 10 8190
90 & 911 1 81990
90 & 912 6 13680
90 & 913 1 82170
90 & 914 2 41130
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