GCF of 1005 and 649

What is the GCF of 1005 and 649?


GCF of 1005 and 649

is 1

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What is the Greatest Common Factor of 1005 and 649? 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 1005 and 649 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1005.
    3, 5, 67
  2. Find the prime factors of the second number 649.
    11, 59
  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 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  2. Find the factors of the second number 649.
    1, 11, 59, 649
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1005 and 649 is 1.

GCD (Greatest Common Divisor) of 1005 and 649 is 1.

HCF (Highest Common Factor) of 1005 and 649 is 1.

Number GCF LCM
1005 & 644 1 647220
1005 & 645 15 43215
1005 & 646 1 649230
1005 & 647 1 650235
1005 & 648 3 217080
1005 & 649 1 652245
1005 & 650 5 130650
1005 & 651 3 218085
1005 & 652 1 655260
1005 & 653 1 656265
1005 & 654 3 219090