GCF of 1002 and 273

What is the GCF of 1002 and 273?


GCF of 1002 and 273

is 3

Formula How to

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What is the Greatest Common Factor of 1002 and 273? 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 273 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 273.
    3, 7, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 273.
    1, 3, 7, 13, 21, 39, 91, 273
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 1002 and 273 is 3.

GCD (Greatest Common Divisor) of 1002 and 273 is 3.

HCF (Highest Common Factor) of 1002 and 273 is 3.

Number GCF LCM
1002 & 268 2 134268
1002 & 269 1 269538
1002 & 270 6 45090
1002 & 271 1 271542
1002 & 272 2 136272
1002 & 273 3 91182
1002 & 274 2 137274
1002 & 275 1 275550
1002 & 276 6 46092
1002 & 277 1 277554
1002 & 278 2 139278