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 7182, 7184 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7182 and 7184 is 2.
GCF(7182,7184) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7182
2 | 7182 |
3 | 3591 |
3 | 1197 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 7182 are 2,3,7,19. Prime factorization of 7182 in exponential form is:
7182 = 21×33×71×191
Prime Factorization of 7184
2 | 7184 |
2 | 3592 |
2 | 1796 |
2 | 898 |
449 | 449 |
1 |
Prime factors of 7184 are 2,449. Prime factorization of 7184 in exponential form is:
7184 = 24×4491
∴ So by taking common prime factors GCF of 7182 and 7184 is 2
Factors of 7182
List of positive integer factors of 7182 that divides 7182 without a remainder.
1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Factors of 7184
List of positive integer factors of 7184 that divides 7184 without a remainder.
1,2,4,8,16,449,898,1796,3592,7184
Greatest Common Factor
We found the factors and prime factorization of 7182 and 7184. The biggest common factor number is the GCF number.
So the greatest common factor 7182 and 7184 is 2.
Also check out the Least Common Multiple of 7182 and 7184
(i) The GCF of 7182 and 7184 is associative
GCF of 7182 and 7184 = GCF of 7184 and 7182
1. What is the GCF of 7182 and 7184?
Answer: GCF of 7182 and 7184 is 2.
2. What are the Factors of 7182?
Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.
3. What are the Factors of 7184?
Answer: Factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184. There are 10 integers that are factors of 7184. The greatest factor of 7184 is 7184.
4. How to Find the GCF of 7182 and 7184?
Answer:
Greatest Common Factor of 7182 and 7184 = 2
Step 1: Find the prime factorization of 7182
7182 = 2 x 3 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 7184
7184 = 2 x 2 x 2 x 2 x 449
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7182 and 7184 is 2