Greatest Common Factor of 73389 and 73392

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 73389, 73392 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 73389 and 73392 is 3.

GCF(73389,73392) = 3

GCF of 73389 and 73392

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

GCF of:
and

Greatest Common Factor of 73389 and 73392

GCF of 73389 and 73392 is 3

Prime Factorization of 73389


3 73389
17 24463
1439 1439
1

Prime factors of 73389 are 3,17,1439. Prime factorization of 73389 in exponential form is:

73389 = 31×171×14391

Prime Factorization of 73392


2 73392
2 36696
2 18348
2 9174
3 4587
11 1529
139 139
1

Prime factors of 73392 are 2,3,11,139. Prime factorization of 73392 in exponential form is:

73392 = 24×31×111×1391

∴ So by taking common prime factors GCF of 73389 and 73392 is 3

Greatest Common Factor of 73389 and 73392 by matching factors method

Factors of 73389

List of positive integer factors of 73389 that divides 73389 without a remainder.

1,3,17,51,1439,4317,24463,73389

Factors of 73392

List of positive integer factors of 73392 that divides 73392 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,139,176,264,278,417,528,556,834,1112,1529,1668,2224,3058,3336,4587,6116,6672,9174,12232,18348,24464,36696,73392

Greatest Common Factor

We found the factors and prime factorization of 73389 and 73392. The biggest common factor number is the GCF number.
So the greatest common factor 73389 and 73392 is 3.

Also check out the Least Common Multiple of 73389 and 73392

Properties of GCF 73389 and 73392

(i) The GCF of 73389 and 73392 is associative

GCF of 73389 and 73392 = GCF of 73392 and 73389

Related Greatest Common Factor of 73389

Related Greatest Common Factor of 73392

Frequently Asked Questions on GCF of 73389 and 73392

1. What is the GCF of 73389 and 73392?

Answer: GCF of 73389 and 73392 is 3.

2. What are the Factors of 73389?

Answer: Factors of 73389 are 1, 3, 17, 51, 1439, 4317, 24463, 73389. There are 8 integers that are factors of 73389. The greatest factor of 73389 is 73389.

3. What are the Factors of 73392?

Answer: Factors of 73392 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 139, 176, 264, 278, 417, 528, 556, 834, 1112, 1529, 1668, 2224, 3058, 3336, 4587, 6116, 6672, 9174, 12232, 18348, 24464, 36696, 73392. There are 40 integers that are factors of 73392. The greatest factor of 73392 is 73392.

4. How to Find the GCF of 73389 and 73392?

Answer:

Greatest Common Factor of 73389 and 73392 = 3

Step 1: Find the prime factorization of 73389

73389 = 3 x 17 x 1439

Step 2: Find the prime factorization of 73392

73392 = 2 x 2 x 2 x 2 x 3 x 11 x 139

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 73389 and 73392 is 3