Greatest Common Factor of 75684 and 75690

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 75684, 75690 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 75684 and 75690 is 6.

GCF(75684,75690) = 6

GCF of 75684 and 75690

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 75684 and 75690

GCF of 75684 and 75690 is 6

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

Prime Factorization of 75690


2 75690
3 37845
3 12615
5 4205
29 841
29 29
1

Prime factors of 75690 are 2,3,5,29. Prime factorization of 75690 in exponential form is:

75690 = 21×32×51×292

∴ So by taking common prime factors GCF of 75684 and 75690 is 6

Greatest Common Factor of 75684 and 75690 by matching factors method

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

Factors of 75690

List of positive integer factors of 75690 that divides 75690 without a remainder.

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,841,870,1305,1682,2523,2610,4205,5046,7569,8410,12615,15138,25230,37845,75690

Greatest Common Factor

We found the factors and prime factorization of 75684 and 75690. The biggest common factor number is the GCF number.
So the greatest common factor 75684 and 75690 is 6.

Also check out the Least Common Multiple of 75684 and 75690

Properties of GCF 75684 and 75690

(i) The GCF of 75684 and 75690 is associative

GCF of 75684 and 75690 = GCF of 75690 and 75684

Related Greatest Common Factor of 75684

Related Greatest Common Factor of 75690

Frequently Asked Questions on GCF of 75684 and 75690

1. What is the GCF of 75684 and 75690?

Answer: GCF of 75684 and 75690 is 6.

2. 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.

3. What are the Factors of 75690?

Answer: Factors of 75690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 841, 870, 1305, 1682, 2523, 2610, 4205, 5046, 7569, 8410, 12615, 15138, 25230, 37845, 75690. There are 36 integers that are factors of 75690. The greatest factor of 75690 is 75690.

4. How to Find the GCF of 75684 and 75690?

Answer:

Greatest Common Factor of 75684 and 75690 = 6

Step 1: Find the prime factorization of 75684

75684 = 2 x 2 x 3 x 7 x 17 x 53

Step 2: Find the prime factorization of 75690

75690 = 2 x 3 x 3 x 5 x 29 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 75684 and 75690 is 6