GCF of 1005 and 628

What is the GCF of 1005 and 628?


GCF of 1005 and 628

is 1

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What is the Greatest Common Factor of 1005 and 628? 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 628 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 628.
    2, 2, 157
  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 628.
    1, 2, 4, 157, 314, 628
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
1005 & 623 1 626115
1005 & 624 3 209040
1005 & 625 5 125625
1005 & 626 1 629130
1005 & 627 3 210045
1005 & 628 1 631140
1005 & 629 1 632145
1005 & 630 15 42210
1005 & 631 1 634155
1005 & 632 1 635160
1005 & 633 3 212055

GCF (Greatest Common Factor) of 1005 and 628 is 1.

GCD (Greatest Common Divisor) of 1005 and 628 is 1.

HCF (Highest Common Factor) of 1005 and 628 is 1.