GCF of 1006 and 793

What is the GCF of 1006 and 793?


GCF of 1006 and 793

is 1

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What is the Greatest Common Factor of 1006 and 793? 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 1006 and 793 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1006.
    2, 503
  2. Find the prime factors of the second number 793.
    13, 61
  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 1006.
    1, 2, 503, 1006
  2. Find the factors of the second number 793.
    1, 13, 61, 793
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1006 and 793 is 1.

GCD (Greatest Common Divisor) of 1006 and 793 is 1.

HCF (Highest Common Factor) of 1006 and 793 is 1.

Number GCF LCM
1006 & 788 2 396364
1006 & 789 1 793734
1006 & 790 2 397370
1006 & 791 1 795746
1006 & 792 2 398376
1006 & 793 1 797758
1006 & 794 2 399382
1006 & 795 1 799770
1006 & 796 2 400388
1006 & 797 1 801782
1006 & 798 2 401394