GCF of 107 and 176

What is the GCF of 107 and 176?


GCF of 107 and 176

is 1

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What is the Greatest Common Factor of 107 and 176? 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 176 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 176.
    2, 2, 2, 2, 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 107.
    1, 107
  2. Find the factors of the second number 176.
    1, 2, 4, 8, 11, 16, 22, 44, 88, 176
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 107 and 176 is 1.

GCD (Greatest Common Divisor) of 107 and 176 is 1.

HCF (Highest Common Factor) of 107 and 176 is 1.

Number GCF LCM
107 & 171 1 18297
107 & 172 1 18404
107 & 173 1 18511
107 & 174 1 18618
107 & 175 1 18725
107 & 176 1 18832
107 & 177 1 18939
107 & 178 1 19046
107 & 179 1 19153
107 & 180 1 19260
107 & 181 1 19367