GCF of 48 and 96

What is the GCF of 48 and 96?


GCF of 48 and 96

is 48

Formula How to

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What is the Greatest Common Factor of 48 and 96? 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 96 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 96.
    2, 2, 2, 2, 2, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    48

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 96.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  3. The biggest common factor number is the GCF value. Which is,
    48

GCF (Greatest Common Factor) of 48 and 96 is 48.

GCD (Greatest Common Divisor) of 48 and 96 is 48.

HCF (Highest Common Factor) of 48 and 96 is 48.

Number GCF LCM
48 & 91 1 4368
48 & 92 4 1104
48 & 93 3 1488
48 & 94 2 2256
48 & 95 1 4560
48 & 96 48 96
48 & 97 1 4656
48 & 98 2 2352
48 & 99 3 1584
48 & 100 4 1200
48 & 101 1 4848