GCF of 99 and 462

What is the GCF of 99 and 462?


GCF of 99 and 462

is 33

Formula How to

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What is the Greatest Common Factor of 99 and 462? 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 462 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 462.
    2, 3, 7, 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 462.
    1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
  3. The biggest common factor number is the GCF value. Which is,
    33

GCF (Greatest Common Factor) of 99 and 462 is 33.

GCD (Greatest Common Divisor) of 99 and 462 is 33.

HCF (Highest Common Factor) of 99 and 462 is 33.

Number GCF LCM
99 & 457 1 45243
99 & 458 1 45342
99 & 459 9 5049
99 & 460 1 45540
99 & 461 1 45639
99 & 462 33 1386
99 & 463 1 45837
99 & 464 1 45936
99 & 465 3 15345
99 & 466 1 46134
99 & 467 1 46233