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 7035, 7038 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7035 and 7038 is 3.
GCF(7035,7038) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7035
3 | 7035 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 7035 are 3,5,7,67. Prime factorization of 7035 in exponential form is:
7035 = 31×51×71×671
Prime Factorization of 7038
2 | 7038 |
3 | 3519 |
3 | 1173 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 7038 are 2,3,17,23. Prime factorization of 7038 in exponential form is:
7038 = 21×32×171×231
∴ So by taking common prime factors GCF of 7035 and 7038 is 3
Factors of 7035
List of positive integer factors of 7035 that divides 7035 without a remainder.
1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Factors of 7038
List of positive integer factors of 7038 that divides 7038 without a remainder.
1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors and prime factorization of 7035 and 7038. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7038 is 3.
Also check out the Least Common Multiple of 7035 and 7038
(i) The GCF of 7035 and 7038 is associative
GCF of 7035 and 7038 = GCF of 7038 and 7035
1. What is the GCF of 7035 and 7038?
Answer: GCF of 7035 and 7038 is 3.
2. What are the Factors of 7035?
Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.
3. What are the Factors of 7038?
Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.
4. How to Find the GCF of 7035 and 7038?
Answer:
Greatest Common Factor of 7035 and 7038 = 3
Step 1: Find the prime factorization of 7035
7035 = 3 x 5 x 7 x 67
Step 2: Find the prime factorization of 7038
7038 = 2 x 3 x 3 x 17 x 23
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 7035 and 7038 is 3