GCF of 7744 and 10009

What is the GCF of 7744 and 10009?


GCF of 7744 and 10009

is 1

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What is the Greatest Common Factor of 7744 and 10009? 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 7744 and 10009 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 7744.
    2, 2, 2, 2, 2, 2, 11, 11
  2. Find the prime factors of the second number 10009.
    10009
  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 7744.
    1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744
  2. Find the factors of the second number 10009.
    1, 10009
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
7744 & 10004 4 19367744
7744 & 10005 1 77478720
7744 & 10006 2 38743232
7744 & 10007 1 77494208
7744 & 10008 8 9687744
7744 & 10009 1 77509696
7744 & 10010 22 3523520
7744 & 10011 1 77525184
7744 & 10012 4 19383232
7744 & 10013 1 77540672
7744 & 10014 2 38774208

GCF (Greatest Common Factor) of 7744 and 10009 is 1.

GCD (Greatest Common Divisor) of 7744 and 10009 is 1.

HCF (Highest Common Factor) of 7744 and 10009 is 1.