GCF of 28 and 48

What is the GCF of 28 and 48?

GCF of 28 and 48

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 28 and 48? 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 28 and 48 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 28.
    2, 2, 7
  2. Find the prime factors of the second number 48.
    2, 2, 2, 2, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 28.
    1, 2, 4, 7, 14, 28
  2. Find the factors of the second number 48.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  3. The biggest common factor number is the GCF value. Which is,
    4

Number GCF LCM
28 & 43 1 1204
28 & 44 4 308
28 & 45 1 1260
28 & 46 2 644
28 & 47 1 1316
28 & 48 4 336
28 & 49 7 196
28 & 50 2 700
28 & 51 1 1428
28 & 52 4 364
28 & 53 1 1484

GCF (Greatest Common Factor) of 28 and 48 is 4.

GCD (Greatest Common Divisor) of 28 and 48 is 4.

HCF (Highest Common Factor) of 28 and 48 is 4.
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