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 7034, 7037 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7034 and 7037 is 1.
GCF(7034,7037) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7034
2 | 7034 |
3517 | 3517 |
1 |
Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:
7034 = 21×35171
Prime Factorization of 7037
31 | 7037 |
227 | 227 |
1 |
Prime factors of 7037 are 31,227. Prime factorization of 7037 in exponential form is:
7037 = 311×2271
∴ So by taking common prime factors GCF of 7034 and 7037 is 1
Factors of 7034
List of positive integer factors of 7034 that divides 7034 without a remainder.
1,2,3517,7034
Factors of 7037
List of positive integer factors of 7037 that divides 7037 without a remainder.
1,31,227,7037
Greatest Common Factor
We found the factors and prime factorization of 7034 and 7037. The biggest common factor number is the GCF number.
So the greatest common factor 7034 and 7037 is 1.
Also check out the Least Common Multiple of 7034 and 7037
(i) The GCF of 7034 and 7037 is associative
GCF of 7034 and 7037 = GCF of 7037 and 7034
1. What is the GCF of 7034 and 7037?
Answer: GCF of 7034 and 7037 is 1.
2. What are the Factors of 7034?
Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.
3. What are the Factors of 7037?
Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.
4. How to Find the GCF of 7034 and 7037?
Answer:
Greatest Common Factor of 7034 and 7037 = 1
Step 1: Find the prime factorization of 7034
7034 = 2 x 3517
Step 2: Find the prime factorization of 7037
7037 = 31 x 227
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 7034 and 7037 is 1