GCF of 1004 and 1874

What is the GCF of 1004 and 1874?


GCF of 1004 and 1874

is 2

Formula How to

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What is the Greatest Common Factor of 1004 and 1874? 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 1004 and 1874 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 1874.
    2, 937
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 1874.
    1, 2, 937, 1874
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1004 and 1874 is 2.

GCD (Greatest Common Divisor) of 1004 and 1874 is 2.

HCF (Highest Common Factor) of 1004 and 1874 is 2.

Number GCF LCM
1004 & 1869 1 1876476
1004 & 1870 2 938740
1004 & 1871 1 1878484
1004 & 1872 4 469872
1004 & 1873 1 1880492
1004 & 1874 2 940748
1004 & 1875 1 1882500
1004 & 1876 4 470876
1004 & 1877 1 1884508
1004 & 1878 2 942756
1004 & 1879 1 1886516