GCF of 1009 and 674

What is the GCF of 1009 and 674?


GCF of 1009 and 674

is 1

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What is the Greatest Common Factor of 1009 and 674? 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 1009 and 674 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1009.
    1009
  2. Find the prime factors of the second number 674.
    2, 337
  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 1009.
    1, 1009
  2. Find the factors of the second number 674.
    1, 2, 337, 674
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1009 and 674 is 1.

GCD (Greatest Common Divisor) of 1009 and 674 is 1.

HCF (Highest Common Factor) of 1009 and 674 is 1.

Number GCF LCM
1009 & 669 1 675021
1009 & 670 1 676030
1009 & 671 1 677039
1009 & 672 1 678048
1009 & 673 1 679057
1009 & 674 1 680066
1009 & 675 1 681075
1009 & 676 1 682084
1009 & 677 1 683093
1009 & 678 1 684102
1009 & 679 1 685111