GCF of 1008 and 2316

What is the GCF of 1008 and 2316?


GCF of 1008 and 2316

is 12

Formula How to

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What is the Greatest Common Factor of 1008 and 2316? 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 2316 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 2316.
    2, 2, 3, 193
  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 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 2316.
    1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 1008 and 2316 is 12.

GCD (Greatest Common Divisor) of 1008 and 2316 is 12.

HCF (Highest Common Factor) of 1008 and 2316 is 12.

Number GCF LCM
1008 & 2311 1 2329488
1008 & 2312 8 291312
1008 & 2313 9 259056
1008 & 2314 2 1166256
1008 & 2315 1 2333520
1008 & 2316 12 194544
1008 & 2317 7 333648
1008 & 2318 2 1168272
1008 & 2319 3 779184
1008 & 2320 16 146160
1008 & 2321 1 2339568