GCF of 1004 and 666

What is the GCF of 1004 and 666?

GCF of 1004 and 666

is 2

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 1004 and 666? 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 1004 and 666 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 666.
    2, 3, 3, 37
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 666.
    1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1004 and 666 is 2.

GCD (Greatest Common Divisor) of 1004 and 666 is 2.

HCF (Highest Common Factor) of 1004 and 666 is 2.

Number GCF LCM
1004 & 661 1 663644
1004 & 662 2 332324
1004 & 663 1 665652
1004 & 664 4 166664
1004 & 665 1 667660
1004 & 666 2 334332
1004 & 667 1 669668
1004 & 668 4 167668
1004 & 669 1 671676
1004 & 670 2 336340
1004 & 671 1 673684
Calculations