Greatest Common Factor of 1989 and 1996

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 1989, 1996 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1989 and 1996 is 1.

GCF(1989,1996) = 1

GCF of 1989 and 1996

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

GCF of:
and

Greatest Common Factor of 1989 and 1996

GCF of 1989 and 1996 is 1

Prime Factorization of 1989


3 1989
3 663
13 221
17 17
1

Prime factors of 1989 are 3,13,17. Prime factorization of 1989 in exponential form is:

1989 = 32×131×171

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

∴ So by taking common prime factors GCF of 1989 and 1996 is 1

Greatest Common Factor of 1989 and 1996 by matching factors method

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Factors of 1996

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

1,2,4,499,998,1996

Greatest Common Factor

We found the factors and prime factorization of 1989 and 1996. The biggest common factor number is the GCF number.
So the greatest common factor 1989 and 1996 is 1.

Also check out the Least Common Multiple of 1989 and 1996

Properties of GCF 1989 and 1996

(i) The GCF of 1989 and 1996 is associative

GCF of 1989 and 1996 = GCF of 1996 and 1989

Related Greatest Common Factor of 1989

Related Greatest Common Factor of 1996

Frequently Asked Questions on GCF of 1989 and 1996

1. What is the GCF of 1989 and 1996?

Answer: GCF of 1989 and 1996 is 1.

2. What are the Factors of 1989?

Answer: Factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. There are 12 integers that are factors of 1989. The greatest factor of 1989 is 1989.

3. 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.

4. How to Find the GCF of 1989 and 1996?

Answer:

Greatest Common Factor of 1989 and 1996 = 1

Step 1: Find the prime factorization of 1989

1989 = 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 1996

1996 = 2 x 2 x 499

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 1989 and 1996 is 1