Greatest Common Factor of 1986 and 1989

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 1986, 1989 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1986 and 1989 is 3.

GCF(1986,1989) = 3

GCF of 1986 and 1989

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

GCF of:
and

Greatest Common Factor of 1986 and 1989

GCF of 1986 and 1989 is 3

Prime Factorization of 1986


2 1986
3 993
331 331
1

Prime factors of 1986 are 2,3,331. Prime factorization of 1986 in exponential form is:

1986 = 21×31×3311

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

∴ So by taking common prime factors GCF of 1986 and 1989 is 3

Greatest Common Factor of 1986 and 1989 by matching factors method

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

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

Greatest Common Factor

We found the factors and prime factorization of 1986 and 1989. The biggest common factor number is the GCF number.
So the greatest common factor 1986 and 1989 is 3.

Also check out the Least Common Multiple of 1986 and 1989

Properties of GCF 1986 and 1989

(i) The GCF of 1986 and 1989 is associative

GCF of 1986 and 1989 = GCF of 1989 and 1986

Related Greatest Common Factor of 1986

Related Greatest Common Factor of 1989

Frequently Asked Questions on GCF of 1986 and 1989

1. What is the GCF of 1986 and 1989?

Answer: GCF of 1986 and 1989 is 3.

2. What are the Factors of 1986?

Answer: Factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986. There are 8 integers that are factors of 1986. The greatest factor of 1986 is 1986.

3. 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.

4. How to Find the GCF of 1986 and 1989?

Answer:

Greatest Common Factor of 1986 and 1989 = 3

Step 1: Find the prime factorization of 1986

1986 = 2 x 3 x 331

Step 2: Find the prime factorization of 1989

1989 = 3 x 3 x 13 x 17

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 1986 and 1989 is 3