Greatest Common Factor of 1932 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 1932, 1938 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1932 and 1938 is 6.

GCF(1932,1938) = 6

GCF of 1932 and 1938

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

GCF of:
and

Greatest Common Factor of 1932 and 1938

GCF of 1932 and 1938 is 6

Prime Factorization of 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2,3,7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

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 1932 and 1938 is 6

Greatest Common Factor of 1932 and 1938 by matching factors method

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932

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 1932 and 1938. The biggest common factor number is the GCF number.
So the greatest common factor 1932 and 1938 is 6.

Also check out the Least Common Multiple of 1932 and 1938

Properties of GCF 1932 and 1938

(i) The GCF of 1932 and 1938 is associative

GCF of 1932 and 1938 = GCF of 1938 and 1932

Related Greatest Common Factor of 1932

Related Greatest Common Factor of 1938

Frequently Asked Questions on GCF of 1932 and 1938

1. What is the GCF of 1932 and 1938?

Answer: GCF of 1932 and 1938 is 6.

2. What are the Factors of 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

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 1932 and 1938?

Answer:

Greatest Common Factor of 1932 and 1938 = 6

Step 1: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1932 and 1938 is 6