GCF of 1003 and 675

What is the GCF of 1003 and 675?


GCF of 1003 and 675

is 1

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What is the Greatest Common Factor of 1003 and 675? 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 1003 and 675 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1003.
    17, 59
  2. Find the prime factors of the second number 675.
    3, 3, 3, 5, 5
  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 1003.
    1, 17, 59, 1003
  2. Find the factors of the second number 675.
    1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1003 and 675 is 1.

GCD (Greatest Common Divisor) of 1003 and 675 is 1.

HCF (Highest Common Factor) of 1003 and 675 is 1.

Number GCF LCM
1003 & 670 1 672010
1003 & 671 1 673013
1003 & 672 1 674016
1003 & 673 1 675019
1003 & 674 1 676022
1003 & 675 1 677025
1003 & 676 1 678028
1003 & 677 1 679031
1003 & 678 1 680034
1003 & 679 1 681037
1003 & 680 17 40120