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 75681, 75684 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 75681 and 75684 is 3.
GCF(75681,75684) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 75681
3 | 75681 |
3 | 25227 |
3 | 8409 |
2803 | 2803 |
1 |
Prime factors of 75681 are 3,2803. Prime factorization of 75681 in exponential form is:
75681 = 33×28031
Prime Factorization of 75684
2 | 75684 |
2 | 37842 |
3 | 18921 |
7 | 6307 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 75684 are 2,3,7,17,53. Prime factorization of 75684 in exponential form is:
75684 = 22×31×71×171×531
∴ So by taking common prime factors GCF of 75681 and 75684 is 3
Factors of 75681
List of positive integer factors of 75681 that divides 75681 without a remainder.
1,3,9,27,2803,8409,25227,75681
Factors of 75684
List of positive integer factors of 75684 that divides 75684 without a remainder.
1,2,3,4,6,7,12,14,17,21,28,34,42,51,53,68,84,102,106,119,159,204,212,238,318,357,371,476,636,714,742,901,1113,1428,1484,1802,2226,2703,3604,4452,5406,6307,10812,12614,18921,25228,37842,75684
Greatest Common Factor
We found the factors and prime factorization of 75681 and 75684. The biggest common factor number is the GCF number.
So the greatest common factor 75681 and 75684 is 3.
Also check out the Least Common Multiple of 75681 and 75684
(i) The GCF of 75681 and 75684 is associative
GCF of 75681 and 75684 = GCF of 75684 and 75681
1. What is the GCF of 75681 and 75684?
Answer: GCF of 75681 and 75684 is 3.
2. What are the Factors of 75681?
Answer: Factors of 75681 are 1, 3, 9, 27, 2803, 8409, 25227, 75681. There are 8 integers that are factors of 75681. The greatest factor of 75681 is 75681.
3. What are the Factors of 75684?
Answer: Factors of 75684 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 53, 68, 84, 102, 106, 119, 159, 204, 212, 238, 318, 357, 371, 476, 636, 714, 742, 901, 1113, 1428, 1484, 1802, 2226, 2703, 3604, 4452, 5406, 6307, 10812, 12614, 18921, 25228, 37842, 75684. There are 48 integers that are factors of 75684. The greatest factor of 75684 is 75684.
4. How to Find the GCF of 75681 and 75684?
Answer:
Greatest Common Factor of 75681 and 75684 = 3
Step 1: Find the prime factorization of 75681
75681 = 3 x 3 x 3 x 2803
Step 2: Find the prime factorization of 75684
75684 = 2 x 2 x 3 x 7 x 17 x 53
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 75681 and 75684 is 3