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, 1940 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1938 and 1940 is 2.
GCF(1938,1940) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1940
2 | 1940 |
2 | 970 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 1940 are 2,5,97. Prime factorization of 1940 in exponential form is:
1940 = 22×51×971
∴ So by taking common prime factors GCF of 1938 and 1940 is 2
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 1940
List of positive integer factors of 1940 that divides 1940 without a remainder.
1,2,4,5,10,20,97,194,388,485,970,1940
Greatest Common Factor
We found the factors and prime factorization of 1938 and 1940. The biggest common factor number is the GCF number.
So the greatest common factor 1938 and 1940 is 2.
Also check out the Least Common Multiple of 1938 and 1940
(i) The GCF of 1938 and 1940 is associative
GCF of 1938 and 1940 = GCF of 1940 and 1938
1. What is the GCF of 1938 and 1940?
Answer: GCF of 1938 and 1940 is 2.
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 1940?
Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.
4. How to Find the GCF of 1938 and 1940?
Answer:
Greatest Common Factor of 1938 and 1940 = 2
Step 1: Find the prime factorization of 1938
1938 = 2 x 3 x 17 x 19
Step 2: Find the prime factorization of 1940
1940 = 2 x 2 x 5 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1938 and 1940 is 2