GCF of 3631 and 1007

What is the GCF of 3631 and 1007?


GCF of 3631 and 1007

is 1

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What is the Greatest Common Factor of 3631 and 1007? 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 3631 and 1007 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 3631.
    3631
  2. Find the prime factors of the second number 1007.
    19, 53
  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 3631.
    1, 3631
  2. Find the factors of the second number 1007.
    1, 19, 53, 1007
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 3631 and 1007 is 1.

GCD (Greatest Common Divisor) of 3631 and 1007 is 1.

HCF (Highest Common Factor) of 3631 and 1007 is 1.

Number GCF LCM
3631 & 1002 1 3638262
3631 & 1003 1 3641893
3631 & 1004 1 3645524
3631 & 1005 1 3649155
3631 & 1006 1 3652786
3631 & 1007 1 3656417
3631 & 1008 1 3660048
3631 & 1009 1 3663679
3631 & 1010 1 3667310
3631 & 1011 1 3670941
3631 & 1012 1 3674572