Greatest Common Factor of 1996 and 1999

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 1996, 1999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1996 and 1999 is 1.

GCF(1996,1999) = 1

GCF of 1996 and 1999

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

GCF of:
and

Greatest Common Factor of 1996 and 1999

GCF of 1996 and 1999 is 1

Prime Factorization of 1996


2 1996
2 998
499 499
1

Prime factors of 1996 are 2,499. Prime factorization of 1996 in exponential form is:

1996 = 22×4991

Prime Factorization of 1999


1999 1999
1

Prime factors of 1999 are 1999. Prime factorization of 1999 in exponential form is:

1999 = 19991

∴ So by taking common prime factors GCF of 1996 and 1999 is 1

Greatest Common Factor of 1996 and 1999 by matching factors method

Factors of 1996

List of positive integer factors of 1996 that divides 1996 without a remainder.

1,2,4,499,998,1996

Factors of 1999

List of positive integer factors of 1999 that divides 1999 without a remainder.

1,1999

Greatest Common Factor

We found the factors and prime factorization of 1996 and 1999. The biggest common factor number is the GCF number.
So the greatest common factor 1996 and 1999 is 1.

Also check out the Least Common Multiple of 1996 and 1999

Properties of GCF 1996 and 1999

(i) The GCF of 1996 and 1999 is associative

GCF of 1996 and 1999 = GCF of 1999 and 1996

Related Greatest Common Factor of 1996

Related Greatest Common Factor of 1999

Frequently Asked Questions on GCF of 1996 and 1999

1. What is the GCF of 1996 and 1999?

Answer: GCF of 1996 and 1999 is 1.

2. What are the Factors of 1996?

Answer: Factors of 1996 are 1, 2, 4, 499, 998, 1996. There are 6 integers that are factors of 1996. The greatest factor of 1996 is 1996.

3. What are the Factors of 1999?

Answer: Factors of 1999 are 1, 1999. There are 2 integers that are factors of 1999. The greatest factor of 1999 is 1999.

4. How to Find the GCF of 1996 and 1999?

Answer:

Greatest Common Factor of 1996 and 1999 = 1

Step 1: Find the prime factorization of 1996

1996 = 2 x 2 x 499

Step 2: Find the prime factorization of 1999

1999 = 1999

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1996 and 1999 is 1