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 2037, 2038 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2037 and 2038 is 1.
GCF(2037,2038) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2037
3 | 2037 |
7 | 679 |
97 | 97 |
1 |
Prime factors of 2037 are 3,7,97. Prime factorization of 2037 in exponential form is:
2037 = 31×71×971
Prime Factorization of 2038
2 | 2038 |
1019 | 1019 |
1 |
Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:
2038 = 21×10191
∴ So by taking common prime factors GCF of 2037 and 2038 is 1
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1,3,7,21,97,291,679,2037
Factors of 2038
List of positive integer factors of 2038 that divides 2038 without a remainder.
1,2,1019,2038
Greatest Common Factor
We found the factors and prime factorization of 2037 and 2038. The biggest common factor number is the GCF number.
So the greatest common factor 2037 and 2038 is 1.
Also check out the Least Common Multiple of 2037 and 2038
(i) The GCF of 2037 and 2038 is associative
GCF of 2037 and 2038 = GCF of 2038 and 2037
1. What is the GCF of 2037 and 2038?
Answer: GCF of 2037 and 2038 is 1.
2. What are the Factors of 2037?
Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.
3. What are the Factors of 2038?
Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.
4. How to Find the GCF of 2037 and 2038?
Answer:
Greatest Common Factor of 2037 and 2038 = 1
Step 1: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 2: Find the prime factorization of 2038
2038 = 2 x 1019
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 2037 and 2038 is 1