GCF of 3621 and 10008

What is the GCF of 3621 and 10008?


GCF of 3621 and 10008

is 3

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What is the Greatest Common Factor of 3621 and 10008? 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 3621 and 10008 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 3621.
    3, 17, 71
  2. Find the prime factors of the second number 10008.
    2, 2, 2, 3, 3, 139
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 3621.
    1, 3, 17, 51, 71, 213, 1207, 3621
  2. Find the factors of the second number 10008.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 3621 and 10008 is 3.

GCD (Greatest Common Divisor) of 3621 and 10008 is 3.

HCF (Highest Common Factor) of 3621 and 10008 is 3.

Number GCF LCM
3621 & 10003 1 36220863
3621 & 10004 1 36224484
3621 & 10005 3 12076035
3621 & 10006 1 36231726
3621 & 10007 1 36235347
3621 & 10008 3 12079656
3621 & 10009 1 36242589
3621 & 10010 1 36246210
3621 & 10011 213 170187
3621 & 10012 1 36253452
3621 & 10013 17 2132769