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 7140, 7145 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7140 and 7145 is 5.
GCF(7140,7145) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7140
2 | 7140 |
2 | 3570 |
3 | 1785 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 7140 are 2,3,5,7,17. Prime factorization of 7140 in exponential form is:
7140 = 22×31×51×71×171
Prime Factorization of 7145
5 | 7145 |
1429 | 1429 |
1 |
Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:
7145 = 51×14291
∴ So by taking common prime factors GCF of 7140 and 7145 is 5
Factors of 7140
List of positive integer factors of 7140 that divides 7140 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140
Factors of 7145
List of positive integer factors of 7145 that divides 7145 without a remainder.
1,5,1429,7145
Greatest Common Factor
We found the factors and prime factorization of 7140 and 7145. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7145 is 5.
Also check out the Least Common Multiple of 7140 and 7145
(i) The GCF of 7140 and 7145 is associative
GCF of 7140 and 7145 = GCF of 7145 and 7140
1. What is the GCF of 7140 and 7145?
Answer: GCF of 7140 and 7145 is 5.
2. What are the Factors of 7140?
Answer: Factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140. There are 48 integers that are factors of 7140. The greatest factor of 7140 is 7140.
3. What are the Factors of 7145?
Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.
4. How to Find the GCF of 7140 and 7145?
Answer:
Greatest Common Factor of 7140 and 7145 = 5
Step 1: Find the prime factorization of 7140
7140 = 2 x 2 x 3 x 5 x 7 x 17
Step 2: Find the prime factorization of 7145
7145 = 5 x 1429
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 7140 and 7145 is 5