Greatest Common Factor of 1935 and 1938

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 1935, 1938 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1935 and 1938 is 3.

GCF(1935,1938) = 3

GCF of 1935 and 1938

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

GCF of:
and

Greatest Common Factor of 1935 and 1938

GCF of 1935 and 1938 is 3

Prime Factorization of 1935


3 1935
3 645
5 215
43 43
1

Prime factors of 1935 are 3,5,43. Prime factorization of 1935 in exponential form is:

1935 = 32×51×431

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2,3,17,19. Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

∴ So by taking common prime factors GCF of 1935 and 1938 is 3

Greatest Common Factor of 1935 and 1938 by matching factors method

Factors of 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1,3,5,9,15,43,45,129,215,387,645,1935

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938

Greatest Common Factor

We found the factors and prime factorization of 1935 and 1938. The biggest common factor number is the GCF number.
So the greatest common factor 1935 and 1938 is 3.

Also check out the Least Common Multiple of 1935 and 1938

Properties of GCF 1935 and 1938

(i) The GCF of 1935 and 1938 is associative

GCF of 1935 and 1938 = GCF of 1938 and 1935

Related Greatest Common Factor of 1935

Related Greatest Common Factor of 1938

Frequently Asked Questions on GCF of 1935 and 1938

1. What is the GCF of 1935 and 1938?

Answer: GCF of 1935 and 1938 is 3.

2. What are the Factors of 1935?

Answer: Factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935. There are 12 integers that are factors of 1935. The greatest factor of 1935 is 1935.

3. What are the Factors of 1938?

Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.

4. How to Find the GCF of 1935 and 1938?

Answer:

Greatest Common Factor of 1935 and 1938 = 3

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

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 1935 and 1938 is 3