GCF of 2310 and 1002

What is the GCF of 2310 and 1002?

GCF of 2310 and 1002

is 6

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Greatest Common Factor

What is the Greatest Common Factor of 2310 and 1002? 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 2310 and 1002 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 2310.
    2, 3, 5, 7, 11
  2. Find the prime factors of the second number 1002.
    2, 3, 167
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 2310.
    1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
  2. Find the factors of the second number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 2310 and 1002 is 6.

GCD (Greatest Common Divisor) of 2310 and 1002 is 6.

HCF (Highest Common Factor) of 2310 and 1002 is 6.

Number GCF LCM
2310 & 997 1 2303070
2310 & 998 2 1152690
2310 & 999 3 769230
2310 & 1000 10 231000
2310 & 1001 77 30030
2310 & 1002 6 385770
2310 & 1003 1 2316930
2310 & 1004 2 1159620
2310 & 1005 15 154770
2310 & 1006 2 1161930
2310 & 1007 1 2326170
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