GCF of 9984 and 3132

What is the GCF of 9984 and 3132?

GCF of 9984 and 3132

is 12

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Greatest Common Factor

What is the Greatest Common Factor of 9984 and 3132? 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 9984 and 3132 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 9984.
    2, 2, 2, 2, 2, 2, 2, 2, 3, 13
  2. Find the prime factors of the second number 3132.
    2, 2, 3, 3, 3, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    12

Factors Method:

  1. Find the factors of the first number 9984.
    1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984
  2. Find the factors of the second number 3132.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 9984 and 3132 is 12.

GCD (Greatest Common Divisor) of 9984 and 3132 is 12.

HCF (Highest Common Factor) of 9984 and 3132 is 12.

Number GCF LCM
9984 & 3127 1 31219968
9984 & 3128 8 3903744
9984 & 3129 3 10413312
9984 & 3130 2 15624960
9984 & 3131 1 31259904
9984 & 3132 12 2605824
9984 & 3133 13 2406144
9984 & 3134 2 15644928
9984 & 3135 3 10433280
9984 & 3136 64 489216
9984 & 3137 1 31319808
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