GCF of 6008 and 1001

What is the GCF of 6008 and 1001?


GCF of 6008 and 1001

is 1

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What is the Greatest Common Factor of 6008 and 1001? 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 6008 and 1001 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 6008.
    2, 2, 2, 751
  2. Find the prime factors of the second number 1001.
    7, 11, 13
  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 6008.
    1, 2, 4, 8, 751, 1502, 3004, 6008
  2. Find the factors of the second number 1001.
    1, 7, 11, 13, 77, 91, 143, 1001
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
6008 & 996 4 1495992
6008 & 997 1 5989976
6008 & 998 2 2997992
6008 & 999 1 6001992
6008 & 1000 8 751000
6008 & 1001 1 6014008
6008 & 1002 2 3010008
6008 & 1003 1 6026024
6008 & 1004 4 1508008
6008 & 1005 1 6038040
6008 & 1006 2 3022024

GCF (Greatest Common Factor) of 6008 and 1001 is 1.

GCD (Greatest Common Divisor) of 6008 and 1001 is 1.

HCF (Highest Common Factor) of 6008 and 1001 is 1.