GCF of 116 and 3007

What is the GCF of 116 and 3007?


GCF of 116 and 3007

is 1

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What is the Greatest Common Factor of 116 and 3007? 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 116 and 3007 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 116.
    2, 2, 29
  2. Find the prime factors of the second number 3007.
    31, 97
  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 116.
    1, 2, 4, 29, 58, 116
  2. Find the factors of the second number 3007.
    1, 31, 97, 3007
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
116 & 3002 2 174116
116 & 3003 1 348348
116 & 3004 4 87116
116 & 3005 1 348580
116 & 3006 2 174348
116 & 3007 1 348812
116 & 3008 4 87232
116 & 3009 1 349044
116 & 3010 2 174580
116 & 3011 1 349276
116 & 3012 4 87348

GCF (Greatest Common Factor) of 116 and 3007 is 1.

GCD (Greatest Common Divisor) of 116 and 3007 is 1.

HCF (Highest Common Factor) of 116 and 3007 is 1.