GCF of 1002 and 1332

What is the GCF of 1002 and 1332?


GCF of 1002 and 1332

is 6

Formula How to

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What is the Greatest Common Factor of 1002 and 1332? 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 1002 and 1332 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 1332.
    2, 2, 3, 3, 37
  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 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 1332.
    1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 1002 and 1332 is 6.

GCD (Greatest Common Divisor) of 1002 and 1332 is 6.

HCF (Highest Common Factor) of 1002 and 1332 is 6.

Number GCF LCM
1002 & 1327 1 1329654
1002 & 1328 2 665328
1002 & 1329 3 443886
1002 & 1330 2 666330
1002 & 1331 1 1333662
1002 & 1332 6 222444
1002 & 1333 1 1335666
1002 & 1334 2 668334
1002 & 1335 3 445890
1002 & 1336 334 4008
1002 & 1337 1 1339674