GCF of 107 and 270

What is the GCF of 107 and 270?


GCF of 107 and 270

is 1

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What is the Greatest Common Factor of 107 and 270? 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 107 and 270 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 107.
    107
  2. Find the prime factors of the second number 270.
    2, 3, 3, 3, 5
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 107.
    1, 107
  2. Find the factors of the second number 270.
    1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 107 and 270 is 1.

GCD (Greatest Common Divisor) of 107 and 270 is 1.

HCF (Highest Common Factor) of 107 and 270 is 1.

Number GCF LCM
107 & 265 1 28355
107 & 266 1 28462
107 & 267 1 28569
107 & 268 1 28676
107 & 269 1 28783
107 & 270 1 28890
107 & 271 1 28997
107 & 272 1 29104
107 & 273 1 29211
107 & 274 1 29318
107 & 275 1 29425