Greatest Common Factor of 1983 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 1983, 1991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1983 and 1991 is 1.

GCF(1983,1991) = 1

GCF of 1983 and 1991

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

GCF of:
and

Greatest Common Factor of 1983 and 1991

GCF of 1983 and 1991 is 1

Prime Factorization of 1983


3 1983
661 661
1

Prime factors of 1983 are 3,661. Prime factorization of 1983 in exponential form is:

1983 = 31×6611

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 1983 and 1991 is 1

Greatest Common Factor of 1983 and 1991 by matching factors method

Factors of 1983

List of positive integer factors of 1983 that divides 1983 without a remainder.

1,3,661,1983

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 1983 and 1991. The biggest common factor number is the GCF number.
So the greatest common factor 1983 and 1991 is 1.

Also check out the Least Common Multiple of 1983 and 1991

Properties of GCF 1983 and 1991

(i) The GCF of 1983 and 1991 is associative

GCF of 1983 and 1991 = GCF of 1991 and 1983

Related Greatest Common Factor of 1983

Related Greatest Common Factor of 1991

Frequently Asked Questions on GCF of 1983 and 1991

1. What is the GCF of 1983 and 1991?

Answer: GCF of 1983 and 1991 is 1.

2. What are the Factors of 1983?

Answer: Factors of 1983 are 1, 3, 661, 1983. There are 4 integers that are factors of 1983. The greatest factor of 1983 is 1983.

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 1983 and 1991?

Answer:

Greatest Common Factor of 1983 and 1991 = 1

Step 1: Find the prime factorization of 1983

1983 = 3 x 661

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 1983 and 1991 is 1