GCF of 993 and 2364

What is the GCF of 993 and 2364?


GCF of 993 and 2364

is 3

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 993 and 2364? 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 993 and 2364 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 993.
    3, 331
  2. Find the prime factors of the second number 2364.
    2, 2, 3, 197
  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 993.
    1, 3, 331, 993
  2. Find the factors of the second number 2364.
    1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 993 and 2364 is 3.

GCD (Greatest Common Divisor) of 993 and 2364 is 3.

HCF (Highest Common Factor) of 993 and 2364 is 3.

Number GCF LCM
993 & 2359 1 2342487
993 & 2360 1 2343480
993 & 2361 3 781491
993 & 2362 1 2345466
993 & 2363 1 2346459
993 & 2364 3 782484
993 & 2365 1 2348445
993 & 2366 1 2349438
993 & 2367 3 783477
993 & 2368 1 2351424
993 & 2369 1 2352417