GCF of 169 and 112

What is the GCF of 169 and 112?


GCF of 169 and 112

is 1

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What is the Greatest Common Factor of 169 and 112? 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 169 and 112 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 169.
    13, 13
  2. Find the prime factors of the second number 112.
    2, 2, 2, 2, 7
  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 169.
    1, 13, 169
  2. Find the factors of the second number 112.
    1, 2, 4, 7, 8, 14, 16, 28, 56, 112
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 169 and 112 is 1.

GCD (Greatest Common Divisor) of 169 and 112 is 1.

HCF (Highest Common Factor) of 169 and 112 is 1.

Number GCF LCM
169 & 107 1 18083
169 & 108 1 18252
169 & 109 1 18421
169 & 110 1 18590
169 & 111 1 18759
169 & 112 1 18928
169 & 113 1 19097
169 & 114 1 19266
169 & 115 1 19435
169 & 116 1 19604
169 & 117 13 1521