GCF of 104 and 275

What is the GCF of 104 and 275?


GCF of 104 and 275

is 1

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What is the Greatest Common Factor of 104 and 275? 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 104 and 275 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 104.
    2, 2, 2, 13
  2. Find the prime factors of the second number 275.
    5, 5, 11
  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 104.
    1, 2, 4, 8, 13, 26, 52, 104
  2. Find the factors of the second number 275.
    1, 5, 11, 25, 55, 275
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 104 and 275 is 1.

GCD (Greatest Common Divisor) of 104 and 275 is 1.

HCF (Highest Common Factor) of 104 and 275 is 1.

Number GCF LCM
104 & 270 2 14040
104 & 271 1 28184
104 & 272 8 3536
104 & 273 13 2184
104 & 274 2 14248
104 & 275 1 28600
104 & 276 4 7176
104 & 277 1 28808
104 & 278 2 14456
104 & 279 1 29016
104 & 280 8 3640