Greatest Common Factor of 75684 and 75688

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, 75688 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 75684 and 75688 is 4.

GCF(75684,75688) = 4

GCF of 75684 and 75688

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

GCF of:
and

Greatest Common Factor of 75684 and 75688

GCF of 75684 and 75688 is 4

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 75688


2 75688
2 37844
2 18922
9461 9461
1

Prime factors of 75688 are 2,9461. Prime factorization of 75688 in exponential form is:

75688 = 23×94611

∴ So by taking common prime factors GCF of 75684 and 75688 is 4

Greatest Common Factor of 75684 and 75688 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 75688

List of positive integer factors of 75688 that divides 75688 without a remainder.

1,2,4,8,9461,18922,37844,75688

Greatest Common Factor

We found the factors and prime factorization of 75684 and 75688. The biggest common factor number is the GCF number.
So the greatest common factor 75684 and 75688 is 4.

Also check out the Least Common Multiple of 75684 and 75688

Properties of GCF 75684 and 75688

(i) The GCF of 75684 and 75688 is associative

GCF of 75684 and 75688 = GCF of 75688 and 75684

Related Greatest Common Factor of 75684

Related Greatest Common Factor of 75688

Frequently Asked Questions on GCF of 75684 and 75688

1. What is the GCF of 75684 and 75688?

Answer: GCF of 75684 and 75688 is 4.

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 75688?

Answer: Factors of 75688 are 1, 2, 4, 8, 9461, 18922, 37844, 75688. There are 8 integers that are factors of 75688. The greatest factor of 75688 is 75688.

4. How to Find the GCF of 75684 and 75688?

Answer:

Greatest Common Factor of 75684 and 75688 = 4

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 75688

75688 = 2 x 2 x 2 x 9461

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 75684 and 75688 is 4