GCF of 1002 and 222

What is the GCF of 1002 and 222?


GCF of 1002 and 222

is 6

Formula How to

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What is the Greatest Common Factor of 1002 and 222? 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 222 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 222.
    2, 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 222.
    1, 2, 3, 6, 37, 74, 111, 222
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 1002 and 222 is 6.

GCD (Greatest Common Divisor) of 1002 and 222 is 6.

HCF (Highest Common Factor) of 1002 and 222 is 6.

Number GCF LCM
1002 & 217 1 217434
1002 & 218 2 109218
1002 & 219 3 73146
1002 & 220 2 110220
1002 & 221 1 221442
1002 & 222 6 37074
1002 & 223 1 223446
1002 & 224 2 112224
1002 & 225 3 75150
1002 & 226 2 113226
1002 & 227 1 227454