GCF of 48 and 84

What is the GCF of 48 and 84?

GCF of 48 and 84

is 12

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Greatest Common Factor

What is the Greatest Common Factor of 48 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 48 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 48.
    2, 2, 2, 2, 3
  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,
    12

Factors Method:

  1. Find the factors of the first number 48.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  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,
    12

Number GCF LCM
48 & 79 1 3792
48 & 80 16 240
48 & 81 3 1296
48 & 82 2 1968
48 & 83 1 3984
48 & 84 12 336
48 & 85 1 4080
48 & 86 2 2064
48 & 87 3 1392
48 & 88 8 528
48 & 89 1 4272

GCF (Greatest Common Factor) of 48 and 84 is 12.

GCD (Greatest Common Divisor) of 48 and 84 is 12.

HCF (Highest Common Factor) of 48 and 84 is 12.
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