GCF of 728 and 1004

What is the GCF of 728 and 1004?


GCF of 728 and 1004

is 4

Formula How to

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What is the Greatest Common Factor of 728 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 728 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 728.
    2, 2, 2, 7, 13
  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,
    4

Factors Method:

  1. Find the factors of the first number 728.
    1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
  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,
    4

GCF (Greatest Common Factor) of 728 and 1004 is 4.

GCD (Greatest Common Divisor) of 728 and 1004 is 4.

HCF (Highest Common Factor) of 728 and 1004 is 4.

Number GCF LCM
728 & 999 1 727272
728 & 1000 8 91000
728 & 1001 91 8008
728 & 1002 2 364728
728 & 1003 1 730184
728 & 1004 4 182728
728 & 1005 1 731640
728 & 1006 2 366184
728 & 1007 1 733096
728 & 1008 56 13104
728 & 1009 1 734552