GCF of 1621 and 108

What is the GCF of 1621 and 108?


GCF of 1621 and 108

is 1

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What is the Greatest Common Factor of 1621 and 108? 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 1621 and 108 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1621.
    1621
  2. Find the prime factors of the second number 108.
    2, 2, 3, 3, 3
  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 1621.
    1, 1621
  2. Find the factors of the second number 108.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
1621 & 103 1 166963
1621 & 104 1 168584
1621 & 105 1 170205
1621 & 106 1 171826
1621 & 107 1 173447
1621 & 108 1 175068
1621 & 109 1 176689
1621 & 110 1 178310
1621 & 111 1 179931
1621 & 112 1 181552
1621 & 113 1 183173

GCF (Greatest Common Factor) of 1621 and 108 is 1.

GCD (Greatest Common Divisor) of 1621 and 108 is 1.

HCF (Highest Common Factor) of 1621 and 108 is 1.