GCF of 111 and 99

What is the GCF of 111 and 99?

GCF of 111 and 99

is 3

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 111 and 99? 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 111 and 99 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 111.
    3, 37
  2. Find the prime factors of the second number 99.
    3, 3, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 111.
    1, 3, 37, 111
  2. Find the factors of the second number 99.
    1, 3, 9, 11, 33, 99
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 111 and 99 is 3.

GCD (Greatest Common Divisor) of 111 and 99 is 3.

HCF (Highest Common Factor) of 111 and 99 is 3.

Number GCF LCM
111 & 94 1 10434
111 & 95 1 10545
111 & 96 3 3552
111 & 97 1 10767
111 & 98 1 10878
111 & 99 3 3663
111 & 100 1 11100
111 & 101 1 11211
111 & 102 3 3774
111 & 103 1 11433
111 & 104 1 11544
Calculations