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 2034, 2037 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2034 and 2037 is 3.
GCF(2034,2037) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2034
2 | 2034 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 2034 are 2,3,113. Prime factorization of 2034 in exponential form is:
2034 = 21×32×1131
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
∴ So by taking common prime factors GCF of 2034 and 2037 is 3
Factors of 2034
List of positive integer factors of 2034 that divides 2034 without a remainder.
1,2,3,6,9,18,113,226,339,678,1017,2034
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1,3,7,21,97,291,679,2037
Greatest Common Factor
We found the factors and prime factorization of 2034 and 2037. The biggest common factor number is the GCF number.
So the greatest common factor 2034 and 2037 is 3.
Also check out the Least Common Multiple of 2034 and 2037
(i) The GCF of 2034 and 2037 is associative
GCF of 2034 and 2037 = GCF of 2037 and 2034
1. What is the GCF of 2034 and 2037?
Answer: GCF of 2034 and 2037 is 3.
2. What are the Factors of 2034?
Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.
3. 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.
4. How to Find the GCF of 2034 and 2037?
Answer:
Greatest Common Factor of 2034 and 2037 = 3
Step 1: Find the prime factorization of 2034
2034 = 2 x 3 x 3 x 113
Step 2: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2034 and 2037 is 3