GCF of 99 and 33

What is the GCF of 99 and 33?

GCF of 99 and 33

is 33

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Greatest Common Factor

What is the Greatest Common Factor of 99 and 33? 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 99 and 33 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 99.
    3, 3, 11
  2. Find the prime factors of the second number 33.
    3, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    33

Factors Method:

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

GCF (Greatest Common Factor) of 99 and 33 is 33.

GCD (Greatest Common Divisor) of 99 and 33 is 33.

HCF (Highest Common Factor) of 99 and 33 is 33.

Number GCF LCM
99 & 28 1 2772
99 & 29 1 2871
99 & 30 3 990
99 & 31 1 3069
99 & 32 1 3168
99 & 33 33 99
99 & 34 1 3366
99 & 35 1 3465
99 & 36 9 396
99 & 37 1 3663
99 & 38 1 3762
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