Greatest Common Factor of 1989 and 1990

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, 1990 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1989 and 1990 is 1.

GCF(1989,1990) = 1

GCF of 1989 and 1990

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

GCF of:
and

Greatest Common Factor of 1989 and 1990

GCF of 1989 and 1990 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 1990


2 1990
5 995
199 199
1

Prime factors of 1990 are 2,5,199. Prime factorization of 1990 in exponential form is:

1990 = 21×51×1991

∴ So by taking common prime factors GCF of 1989 and 1990 is 1

Greatest Common Factor of 1989 and 1990 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 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors and prime factorization of 1989 and 1990. The biggest common factor number is the GCF number.
So the greatest common factor 1989 and 1990 is 1.

Also check out the Least Common Multiple of 1989 and 1990

Properties of GCF 1989 and 1990

(i) The GCF of 1989 and 1990 is associative

GCF of 1989 and 1990 = GCF of 1990 and 1989

Related Greatest Common Factor of 1989

Related Greatest Common Factor of 1990

Frequently Asked Questions on GCF of 1989 and 1990

1. What is the GCF of 1989 and 1990?

Answer: GCF of 1989 and 1990 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 1990?

Answer: Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. There are 8 integers that are factors of 1990. The greatest factor of 1990 is 1990.

4. How to Find the GCF of 1989 and 1990?

Answer:

Greatest Common Factor of 1989 and 1990 = 1

Step 1: Find the prime factorization of 1989

1989 = 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 1990

1990 = 2 x 5 x 199

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 1990 is 1