GCF of 63 and 84

What is the GCF of 63 and 84?


GCF of 63 and 84

is 21

Formula How to

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What is the Greatest Common Factor of 63 and 84? 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 63 and 84 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 63.
    3, 3, 7
  2. Find the prime factors of the second number 84.
    2, 2, 3, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    21

Factors Method:

  1. Find the factors of the first number 63.
    1, 3, 7, 9, 21, 63
  2. Find the factors of the second number 84.
    1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
  3. The biggest common factor number is the GCF value. Which is,
    21

GCF (Greatest Common Factor) of 63 and 84 is 21.

GCD (Greatest Common Divisor) of 63 and 84 is 21.

HCF (Highest Common Factor) of 63 and 84 is 21.

Number GCF LCM
63 & 79 1 4977
63 & 80 1 5040
63 & 81 9 567
63 & 82 1 5166
63 & 83 1 5229
63 & 84 21 252
63 & 85 1 5355
63 & 86 1 5418
63 & 87 3 1827
63 & 88 1 5544
63 & 89 1 5607