Greatest Common Factor of 7385 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 7385, 7392 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7385 and 7392 is 7.

GCF(7385,7392) = 7

GCF of 7385 and 7392

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

GCF of:
and

Greatest Common Factor of 7385 and 7392

GCF of 7385 and 7392 is 7

Prime Factorization of 7385


5 7385
7 1477
211 211
1

Prime factors of 7385 are 5,7,211. Prime factorization of 7385 in exponential form is:

7385 = 51×71×2111

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 7385 and 7392 is 7

Greatest Common Factor of 7385 and 7392 by matching factors method

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

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 7385 and 7392. The biggest common factor number is the GCF number.
So the greatest common factor 7385 and 7392 is 7.

Also check out the Least Common Multiple of 7385 and 7392

Properties of GCF 7385 and 7392

(i) The GCF of 7385 and 7392 is associative

GCF of 7385 and 7392 = GCF of 7392 and 7385

Related Greatest Common Factor of 7385

Related Greatest Common Factor of 7392

Frequently Asked Questions on GCF of 7385 and 7392

1. What is the GCF of 7385 and 7392?

Answer: GCF of 7385 and 7392 is 7.

2. What are the Factors of 7385?

Answer: Factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385. There are 8 integers that are factors of 7385. The greatest factor of 7385 is 7385.

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 7385 and 7392?

Answer:

Greatest Common Factor of 7385 and 7392 = 7

Step 1: Find the prime factorization of 7385

7385 = 5 x 7 x 211

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 = 7

Step 4: Therefore, the greatest common factor of 7385 and 7392 is 7