Greatest Common Factor of 993 and 996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 993, 996 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 993 and 996 is 3.

GCF(993,996) = 3

GCF of 993 and 996

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 993 and 996

GCF of 993 and 996 is 3

Prime Factorization of 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

Prime Factorization of 996


2 996
2 498
3 249
83 83
1

Prime factors of 996 are 2,3,83. Prime factorization of 996 in exponential form is:

996 = 22×31×831

∴ So by taking common prime factors GCF of 993 and 996 is 3

Greatest Common Factor of 993 and 996 by matching factors method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors and prime factorization of 993 and 996. The biggest common factor number is the GCF number.
So the greatest common factor 993 and 996 is 3.

Also check out the Least Common Multiple of 993 and 996

Properties of GCF 993 and 996

(i) The GCF of 993 and 996 is associative

GCF of 993 and 996 = GCF of 996 and 993

Related Greatest Common Factor of 993

Related Greatest Common Factor of 996

Frequently Asked Questions on GCF of 993 and 996

1. What is the GCF of 993 and 996?

Answer: GCF of 993 and 996 is 3.

2. What are the Factors of 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

3. What are the Factors of 996?

Answer: Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. There are 12 integers that are factors of 996. The greatest factor of 996 is 996.

4. How to Find the GCF of 993 and 996?

Answer:

Greatest Common Factor of 993 and 996 = 3

Step 1: Find the prime factorization of 993

993 = 3 x 331

Step 2: Find the prime factorization of 996

996 = 2 x 2 x 3 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 993 and 996 is 3