GCF of 112 and 176

What is the GCF of 112 and 176?


GCF of 112 and 176

is 16

Formula How to

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What is the Greatest Common Factor of 112 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 112 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 112.
    2, 2, 2, 2, 7
  2. Find the prime factors of the second number 176.
    2, 2, 2, 2, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    16

Factors Method:

  1. Find the factors of the first number 112.
    1, 2, 4, 7, 8, 14, 16, 28, 56, 112
  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,
    16

GCF (Greatest Common Factor) of 112 and 176 is 16.

GCD (Greatest Common Divisor) of 112 and 176 is 16.

HCF (Highest Common Factor) of 112 and 176 is 16.

Number GCF LCM
112 & 171 1 19152
112 & 172 4 4816
112 & 173 1 19376
112 & 174 2 9744
112 & 175 7 2800
112 & 176 16 1232
112 & 177 1 19824
112 & 178 2 9968
112 & 179 1 20048
112 & 180 4 5040
112 & 181 1 20272