GCF of 689 and 1004

What is the GCF of 689 and 1004?


GCF of 689 and 1004

is 1

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What is the Greatest Common Factor of 689 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 689 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 689.
    13, 53
  2. Find the prime factors of the second number 1004.
    2, 2, 251
  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 689.
    1, 13, 53, 689
  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,
    1

GCF (Greatest Common Factor) of 689 and 1004 is 1.

GCD (Greatest Common Divisor) of 689 and 1004 is 1.

HCF (Highest Common Factor) of 689 and 1004 is 1.

Number GCF LCM
689 & 999 1 688311
689 & 1000 1 689000
689 & 1001 13 53053
689 & 1002 1 690378
689 & 1003 1 691067
689 & 1004 1 691756
689 & 1005 1 692445
689 & 1006 1 693134
689 & 1007 53 13091
689 & 1008 1 694512
689 & 1009 1 695201