Greatest Common Factor of 1931 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 1931, 1938 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1931 and 1938 is 1.

GCF(1931,1938) = 1

GCF of 1931 and 1938

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

GCF of:
and

Greatest Common Factor of 1931 and 1938

GCF of 1931 and 1938 is 1

Prime Factorization of 1931


1931 1931
1

Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:

1931 = 19311

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2.Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

∴ So by taking common prime factors GCF of 1931 and 1938 is 1

Greatest Common Factor of 1931 and 1938 by matching factors method

Factors of 1931

List of positive integer factors of 1931 that divides 1931 without a remainder.

1,1931

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 1931 and 1938. The biggest common factor number is the GCF number.
So the greatest common factor 1931 and 1938 is 1.

Also check out the Least Common Multiple of 1931 and 1938

Properties of GCF 1931 and 1938

(i) The GCF of 1931 and 1938 is associative

GCF of 1931 and 1938 = GCF of 1938 and 1931

Related Greatest Common Factor of 1931

Related Greatest Common Factor of 1938

Frequently Asked Questions on GCF of 1931 and 1938

1. What is the GCF of 1931 and 1938?

Answer: GCF of 1931 and 1938 is 1.

2. What are the Factors of 1931?

Answer: Factors of 1931 are 1, 1931. There are 2 integers that are factors of 1931. The greatest factor of 1931 is 1931.

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 1931 and 1938?

Answer:

Greatest Common Factor of 1931 and 1938 = 1

Step 1: Find the prime factorization of 1931

1931 = 1931

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 = = 1

Step 4: Therefore, the greatest common factor of 1931 and 1938 is 1