GCF of 588 and 1006

What is the GCF of 588 and 1006?


GCF of 588 and 1006

is 2

Formula How to

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What is the Greatest Common Factor of 588 and 1006? 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 588 and 1006 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 588.
    2, 2, 3, 7, 7
  2. Find the prime factors of the second number 1006.
    2, 503
  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 588.
    1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
  2. Find the factors of the second number 1006.
    1, 2, 503, 1006
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
588 & 1001 7 84084
588 & 1002 6 98196
588 & 1003 1 589764
588 & 1004 4 147588
588 & 1005 3 196980
588 & 1006 2 295764
588 & 1007 1 592116
588 & 1008 84 7056
588 & 1009 1 593292
588 & 1010 2 296940
588 & 1011 3 198156

GCF (Greatest Common Factor) of 588 and 1006 is 2.

GCD (Greatest Common Divisor) of 588 and 1006 is 2.

HCF (Highest Common Factor) of 588 and 1006 is 2.