Greatest Common Factor of 7392 and 7398

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 7392, 7398 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7392 and 7398 is 6.

GCF(7392,7398) = 6

GCF of 7392 and 7398

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

GCF of:
and

Greatest Common Factor of 7392 and 7398

GCF of 7392 and 7398 is 6

Prime Factorization of 7392


2 7392
2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 7392 are 2,3,7,11. Prime factorization of 7392 in exponential form is:

7392 = 25×31×71×111

Prime Factorization of 7398


2 7398
3 3699
3 1233
3 411
137 137
1

Prime factors of 7398 are 2,3,137. Prime factorization of 7398 in exponential form is:

7398 = 21×33×1371

∴ So by taking common prime factors GCF of 7392 and 7398 is 6

Greatest Common Factor of 7392 and 7398 by matching factors method

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors and prime factorization of 7392 and 7398. The biggest common factor number is the GCF number.
So the greatest common factor 7392 and 7398 is 6.

Also check out the Least Common Multiple of 7392 and 7398

Properties of GCF 7392 and 7398

(i) The GCF of 7392 and 7398 is associative

GCF of 7392 and 7398 = GCF of 7398 and 7392

Related Greatest Common Factor of 7392

Related Greatest Common Factor of 7398

Frequently Asked Questions on GCF of 7392 and 7398

1. What is the GCF of 7392 and 7398?

Answer: GCF of 7392 and 7398 is 6.

2. What are the Factors of 7392?

Answer: Factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392. There are 48 integers that are factors of 7392. The greatest factor of 7392 is 7392.

3. What are the Factors of 7398?

Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.

4. How to Find the GCF of 7392 and 7398?

Answer:

Greatest Common Factor of 7392 and 7398 = 6

Step 1: Find the prime factorization of 7392

7392 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 7398

7398 = 2 x 3 x 3 x 3 x 137

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 7392 and 7398 is 6