GCF of 48 and 44

What is the GCF of 48 and 44?


GCF of 48 and 44

is 4

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 48 and 44? 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 44 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 44.
    2, 2, 11
  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 48.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 48
  2. Find the factors of the second number 44.
    1, 2, 4, 11, 22, 44
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 48 and 44 is 4.

GCD (Greatest Common Divisor) of 48 and 44 is 4.

HCF (Highest Common Factor) of 48 and 44 is 4.

Number GCF LCM
48 & 39 3 624
48 & 40 8 240
48 & 41 1 1968
48 & 42 6 336
48 & 43 1 2064
48 & 44 4 528
48 & 45 3 720
48 & 46 2 1104
48 & 47 1 2256
48 & 48 48 48
48 & 49 1 2352