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, 7141 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7140 and 7141 is 1.
GCF(7140,7141) = 1
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 7141
37 | 7141 |
193 | 193 |
1 |
Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:
7141 = 371×1931
∴ So by taking common prime factors GCF of 7140 and 7141 is 1
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 7141
List of positive integer factors of 7141 that divides 7141 without a remainder.
1,37,193,7141
Greatest Common Factor
We found the factors and prime factorization of 7140 and 7141. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7141 is 1.
Also check out the Least Common Multiple of 7140 and 7141
(i) The GCF of 7140 and 7141 is associative
GCF of 7140 and 7141 = GCF of 7141 and 7140
1. What is the GCF of 7140 and 7141?
Answer: GCF of 7140 and 7141 is 1.
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 7141?
Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.
4. How to Find the GCF of 7140 and 7141?
Answer:
Greatest Common Factor of 7140 and 7141 = 1
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 7141
7141 = 37 x 193
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 7140 and 7141 is 1