GCF of 9996 and 4384

What is the GCF of 9996 and 4384?


GCF of 9996 and 4384

is 4

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What is the Greatest Common Factor of 9996 and 4384? 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 9996 and 4384 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 9996.
    2, 2, 3, 7, 7, 17
  2. Find the prime factors of the second number 4384.
    2, 2, 2, 2, 2, 137
  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 9996.
    1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
  2. Find the factors of the second number 4384.
    1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 9996 and 4384 is 4.

GCD (Greatest Common Divisor) of 9996 and 4384 is 4.

HCF (Highest Common Factor) of 9996 and 4384 is 4.

Number GCF LCM
9996 & 4379 1 43772484
9996 & 4380 12 3648540
9996 & 4381 1 43792476
9996 & 4382 14 3128748
9996 & 4383 3 14604156
9996 & 4384 4 10955616
9996 & 4385 1 43832460
9996 & 4386 102 429828
9996 & 4387 1 43852452
9996 & 4388 4 10965612
9996 & 4389 21 2089164