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 7030, 7037 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7030 and 7037 is 1.
GCF(7030,7037) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7030
2 | 7030 |
5 | 3515 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 7030 are 2,5,19,37. Prime factorization of 7030 in exponential form is:
7030 = 21×51×191×371
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 7030 and 7037 is 1
Factors of 7030
List of positive integer factors of 7030 that divides 7030 without a remainder.
1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
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 7030 and 7037. The biggest common factor number is the GCF number.
So the greatest common factor 7030 and 7037 is 1.
Also check out the Least Common Multiple of 7030 and 7037
(i) The GCF of 7030 and 7037 is associative
GCF of 7030 and 7037 = GCF of 7037 and 7030
1. What is the GCF of 7030 and 7037?
Answer: GCF of 7030 and 7037 is 1.
2. What are the Factors of 7030?
Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.
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 7030 and 7037?
Answer:
Greatest Common Factor of 7030 and 7037 = 1
Step 1: Find the prime factorization of 7030
7030 = 2 x 5 x 19 x 37
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 7030 and 7037 is 1