GCF of 9996 and 1563

What is the GCF of 9996 and 1563?

GCF of 9996 and 1563

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 9996 and 1563? 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 1563 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 1563.
    3, 521
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 1563.
    1, 3, 521, 1563
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 9996 and 1563 is 3.

GCD (Greatest Common Divisor) of 9996 and 1563 is 3.

HCF (Highest Common Factor) of 9996 and 1563 is 3.

Number GCF LCM
9996 & 1558 2 7786884
9996 & 1559 1 15583764
9996 & 1560 12 1299480
9996 & 1561 7 2229108
9996 & 1562 2 7806876
9996 & 1563 3 5207916
9996 & 1564 68 229908
9996 & 1565 1 15643740
9996 & 1566 6 2608956
9996 & 1567 1 15663732
9996 & 1568 196 79968
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