Greatest Common Factor of 7388 and 7392

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 7388, 7392 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7388 and 7392 is 4.

GCF(7388,7392) = 4

GCF of 7388 and 7392

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

GCF of:
and

Greatest Common Factor of 7388 and 7392

GCF of 7388 and 7392 is 4

Prime Factorization of 7388


2 7388
2 3694
1847 1847
1

Prime factors of 7388 are 2,1847. Prime factorization of 7388 in exponential form is:

7388 = 22×18471

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

∴ So by taking common prime factors GCF of 7388 and 7392 is 4

Greatest Common Factor of 7388 and 7392 by matching factors method

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

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

Greatest Common Factor

We found the factors and prime factorization of 7388 and 7392. The biggest common factor number is the GCF number.
So the greatest common factor 7388 and 7392 is 4.

Also check out the Least Common Multiple of 7388 and 7392

Properties of GCF 7388 and 7392

(i) The GCF of 7388 and 7392 is associative

GCF of 7388 and 7392 = GCF of 7392 and 7388

Related Greatest Common Factor of 7388

Related Greatest Common Factor of 7392

Frequently Asked Questions on GCF of 7388 and 7392

1. What is the GCF of 7388 and 7392?

Answer: GCF of 7388 and 7392 is 4.

2. What are the Factors of 7388?

Answer: Factors of 7388 are 1, 2, 4, 1847, 3694, 7388. There are 6 integers that are factors of 7388. The greatest factor of 7388 is 7388.

3. 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.

4. How to Find the GCF of 7388 and 7392?

Answer:

Greatest Common Factor of 7388 and 7392 = 4

Step 1: Find the prime factorization of 7388

7388 = 2 x 2 x 1847

Step 2: Find the prime factorization of 7392

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

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 7388 and 7392 is 4