Greatest Common Factor of 1989 and 1991

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, 1991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1989 and 1991 is 1.

GCF(1989,1991) = 1

GCF of 1989 and 1991

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

GCF of:
and

Greatest Common Factor of 1989 and 1991

GCF of 1989 and 1991 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 1991


11 1991
181 181
1

Prime factors of 1991 are 11,181. Prime factorization of 1991 in exponential form is:

1991 = 111×1811

∴ So by taking common prime factors GCF of 1989 and 1991 is 1

Greatest Common Factor of 1989 and 1991 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 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

Greatest Common Factor

We found the factors and prime factorization of 1989 and 1991. The biggest common factor number is the GCF number.
So the greatest common factor 1989 and 1991 is 1.

Also check out the Least Common Multiple of 1989 and 1991

Properties of GCF 1989 and 1991

(i) The GCF of 1989 and 1991 is associative

GCF of 1989 and 1991 = GCF of 1991 and 1989

Related Greatest Common Factor of 1989

Related Greatest Common Factor of 1991

Frequently Asked Questions on GCF of 1989 and 1991

1. What is the GCF of 1989 and 1991?

Answer: GCF of 1989 and 1991 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 1991?

Answer: Factors of 1991 are 1, 11, 181, 1991. There are 4 integers that are factors of 1991. The greatest factor of 1991 is 1991.

4. How to Find the GCF of 1989 and 1991?

Answer:

Greatest Common Factor of 1989 and 1991 = 1

Step 1: Find the prime factorization of 1989

1989 = 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 1991

1991 = 11 x 181

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 1991 is 1