Greatest Common Factor of 1980 and 1985

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, 1985 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1980 and 1985 is 5.

GCF(1980,1985) = 5

GCF of 1980 and 1985

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

GCF of:
and

Greatest Common Factor of 1980 and 1985

GCF of 1980 and 1985 is 5

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 1985


5 1985
397 397
1

Prime factors of 1985 are 5,397. Prime factorization of 1985 in exponential form is:

1985 = 51×3971

∴ So by taking common prime factors GCF of 1980 and 1985 is 5

Greatest Common Factor of 1980 and 1985 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 1985

List of positive integer factors of 1985 that divides 1985 without a remainder.

1,5,397,1985

Greatest Common Factor

We found the factors and prime factorization of 1980 and 1985. The biggest common factor number is the GCF number.
So the greatest common factor 1980 and 1985 is 5.

Also check out the Least Common Multiple of 1980 and 1985

Properties of GCF 1980 and 1985

(i) The GCF of 1980 and 1985 is associative

GCF of 1980 and 1985 = GCF of 1985 and 1980

Related Greatest Common Factor of 1980

Related Greatest Common Factor of 1985

Frequently Asked Questions on GCF of 1980 and 1985

1. What is the GCF of 1980 and 1985?

Answer: GCF of 1980 and 1985 is 5.

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 1985?

Answer: Factors of 1985 are 1, 5, 397, 1985. There are 4 integers that are factors of 1985. The greatest factor of 1985 is 1985.

4. How to Find the GCF of 1980 and 1985?

Answer:

Greatest Common Factor of 1980 and 1985 = 5

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 1985

1985 = 5 x 397

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 1980 and 1985 is 5