GCF of 266 and 1003

What is the GCF of 266 and 1003?


GCF of 266 and 1003

is 1

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What is the Greatest Common Factor of 266 and 1003? 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 266 and 1003 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 266.
    2, 7, 19
  2. Find the prime factors of the second number 1003.
    17, 59
  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 266.
    1, 2, 7, 14, 19, 38, 133, 266
  2. Find the factors of the second number 1003.
    1, 17, 59, 1003
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 266 and 1003 is 1.

GCD (Greatest Common Divisor) of 266 and 1003 is 1.

HCF (Highest Common Factor) of 266 and 1003 is 1.

Number GCF LCM
266 & 998 2 132734
266 & 999 1 265734
266 & 1000 2 133000
266 & 1001 7 38038
266 & 1002 2 133266
266 & 1003 1 266798
266 & 1004 2 133532
266 & 1005 1 267330
266 & 1006 2 133798
266 & 1007 19 14098
266 & 1008 14 19152