Greatest Common Factor of 1938 and 1943

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 1938, 1943 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1938 and 1943 is 1.

GCF(1938,1943) = 1

GCF of 1938 and 1943

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

GCF of:
and

Greatest Common Factor of 1938 and 1943

GCF of 1938 and 1943 is 1

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

Prime Factorization of 1943


29 1943
67 67
1

Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:

1943 = 291×671

∴ So by taking common prime factors GCF of 1938 and 1943 is 1

Greatest Common Factor of 1938 and 1943 by matching factors method

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

Factors of 1943

List of positive integer factors of 1943 that divides 1943 without a remainder.

1,29,67,1943

Greatest Common Factor

We found the factors and prime factorization of 1938 and 1943. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1943 is 1.

Also check out the Least Common Multiple of 1938 and 1943

Properties of GCF 1938 and 1943

(i) The GCF of 1938 and 1943 is associative

GCF of 1938 and 1943 = GCF of 1943 and 1938

Related Greatest Common Factor of 1938

Related Greatest Common Factor of 1943

Frequently Asked Questions on GCF of 1938 and 1943

1. What is the GCF of 1938 and 1943?

Answer: GCF of 1938 and 1943 is 1.

2. 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.

3. What are the Factors of 1943?

Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.

4. How to Find the GCF of 1938 and 1943?

Answer:

Greatest Common Factor of 1938 and 1943 = 1

Step 1: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

Step 2: Find the prime factorization of 1943

1943 = 29 x 67

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 1938 and 1943 is 1