GCF of 574 and 1004

What is the GCF of 574 and 1004?


GCF of 574 and 1004

is 2

Formula How to

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What is the Greatest Common Factor of 574 and 1004? 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 574 and 1004 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 574.
    2, 7, 41
  2. Find the prime factors of the second number 1004.
    2, 2, 251
  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 574.
    1, 2, 7, 14, 41, 82, 287, 574
  2. Find the factors of the second number 1004.
    1, 2, 4, 251, 502, 1004
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 574 and 1004 is 2.

GCD (Greatest Common Divisor) of 574 and 1004 is 2.

HCF (Highest Common Factor) of 574 and 1004 is 2.

Number GCF LCM
574 & 999 1 573426
574 & 1000 2 287000
574 & 1001 7 82082
574 & 1002 2 287574
574 & 1003 1 575722
574 & 1004 2 288148
574 & 1005 1 576870
574 & 1006 2 288722
574 & 1007 1 578018
574 & 1008 14 41328
574 & 1009 1 579166