GCF of 1008 and 828

What is the GCF of 1008 and 828?

GCF of 1008 and 828

is 36

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Greatest Common Factor

What is the Greatest Common Factor of 1008 and 828? 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 1008 and 828 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 828.
    2, 2, 3, 3, 23
  3. Multiply of all the common prime factors is the GCF value. Which is,
    36

Factors Method:

  1. Find the factors of the first number 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 828.
    1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
  3. The biggest common factor number is the GCF value. Which is,
    36

GCF (Greatest Common Factor) of 1008 and 828 is 36.

GCD (Greatest Common Divisor) of 1008 and 828 is 36.

HCF (Highest Common Factor) of 1008 and 828 is 36.

Number GCF LCM
1008 & 823 1 829584
1008 & 824 8 103824
1008 & 825 3 277200
1008 & 826 14 59472
1008 & 827 1 833616
1008 & 828 36 23184
1008 & 829 1 835632
1008 & 830 2 418320
1008 & 831 3 279216
1008 & 832 16 52416
1008 & 833 7 119952
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