GCF of 48 and 360

What is the GCF of 48 and 360?


GCF of 48 and 360

is 24

Formula How to

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What is the Greatest Common Factor of 48 and 360? 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 360 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 360.
    2, 2, 2, 3, 3, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    24

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 360.
    1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
  3. The biggest common factor number is the GCF value. Which is,
    24

Number GCF LCM
48 & 355 1 17040
48 & 356 4 4272
48 & 357 3 5712
48 & 358 2 8592
48 & 359 1 17232
48 & 360 24 720
48 & 361 1 17328
48 & 362 2 8688
48 & 363 3 5808
48 & 364 4 4368
48 & 365 1 17520

GCF (Greatest Common Factor) of 48 and 360 is 24.

GCD (Greatest Common Divisor) of 48 and 360 is 24.

HCF (Highest Common Factor) of 48 and 360 is 24.