GCF of 874 and 1003

What is the GCF of 874 and 1003?


GCF of 874 and 1003

is 1

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 874 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 874 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 874.
    2, 19, 23
  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 874.
    1, 2, 19, 23, 38, 46, 437, 874
  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 874 and 1003 is 1.

GCD (Greatest Common Divisor) of 874 and 1003 is 1.

HCF (Highest Common Factor) of 874 and 1003 is 1.

Number GCF LCM
874 & 998 2 436126
874 & 999 1 873126
874 & 1000 2 437000
874 & 1001 1 874874
874 & 1002 2 437874
874 & 1003 1 876622
874 & 1004 2 438748
874 & 1005 1 878370
874 & 1006 2 439622
874 & 1007 19 46322
874 & 1008 2 440496