Greatest Common Factor of 1980 and 1983

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 1980, 1983 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1980 and 1983 is 3.

GCF(1980,1983) = 3

GCF of 1980 and 1983

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

GCF of:
and

Greatest Common Factor of 1980 and 1983

GCF of 1980 and 1983 is 3

Prime Factorization of 1980


2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 1980 are 2,3,5,11. Prime factorization of 1980 in exponential form is:

1980 = 22×32×51×111

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

∴ So by taking common prime factors GCF of 1980 and 1983 is 3

Greatest Common Factor of 1980 and 1983 by matching factors method

Factors of 1980

List of positive integer factors of 1980 that divides 1980 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980

Factors of 1983

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

1,3,661,1983

Greatest Common Factor

We found the factors and prime factorization of 1980 and 1983. The biggest common factor number is the GCF number.
So the greatest common factor 1980 and 1983 is 3.

Also check out the Least Common Multiple of 1980 and 1983

Properties of GCF 1980 and 1983

(i) The GCF of 1980 and 1983 is associative

GCF of 1980 and 1983 = GCF of 1983 and 1980

Related Greatest Common Factor of 1980

Related Greatest Common Factor of 1983

Frequently Asked Questions on GCF of 1980 and 1983

1. What is the GCF of 1980 and 1983?

Answer: GCF of 1980 and 1983 is 3.

2. What are the Factors of 1980?

Answer: Factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. There are 36 integers that are factors of 1980. The greatest factor of 1980 is 1980.

3. 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.

4. How to Find the GCF of 1980 and 1983?

Answer:

Greatest Common Factor of 1980 and 1983 = 3

Step 1: Find the prime factorization of 1980

1980 = 2 x 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 1983

1983 = 3 x 661

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 1980 and 1983 is 3