GCF of 1007 and 299

What is the GCF of 1007 and 299?


GCF of 1007 and 299

is 1

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What is the Greatest Common Factor of 1007 and 299? 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 1007 and 299 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1007.
    19, 53
  2. Find the prime factors of the second number 299.
    13, 23
  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 1007.
    1, 19, 53, 1007
  2. Find the factors of the second number 299.
    1, 13, 23, 299
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1007 and 299 is 1.

GCD (Greatest Common Divisor) of 1007 and 299 is 1.

HCF (Highest Common Factor) of 1007 and 299 is 1.

Number GCF LCM
1007 & 294 1 296058
1007 & 295 1 297065
1007 & 296 1 298072
1007 & 297 1 299079
1007 & 298 1 300086
1007 & 299 1 301093
1007 & 300 1 302100
1007 & 301 1 303107
1007 & 302 1 304114
1007 & 303 1 305121
1007 & 304 19 16112