Greatest Common Factor of 7380 and 7385

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 7380, 7385 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7380 and 7385 is 5.

GCF(7380,7385) = 5

GCF of 7380 and 7385

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

GCF of:
and

Greatest Common Factor of 7380 and 7385

GCF of 7380 and 7385 is 5

Prime Factorization of 7380


2 7380
2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 7380 are 2,3,5,41. Prime factorization of 7380 in exponential form is:

7380 = 22×32×51×411

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

∴ So by taking common prime factors GCF of 7380 and 7385 is 5

Greatest Common Factor of 7380 and 7385 by matching factors method

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380

Factors of 7385

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

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

Greatest Common Factor

We found the factors and prime factorization of 7380 and 7385. The biggest common factor number is the GCF number.
So the greatest common factor 7380 and 7385 is 5.

Also check out the Least Common Multiple of 7380 and 7385

Properties of GCF 7380 and 7385

(i) The GCF of 7380 and 7385 is associative

GCF of 7380 and 7385 = GCF of 7385 and 7380

Related Greatest Common Factor of 7380

Related Greatest Common Factor of 7385

Frequently Asked Questions on GCF of 7380 and 7385

1. What is the GCF of 7380 and 7385?

Answer: GCF of 7380 and 7385 is 5.

2. What are the Factors of 7380?

Answer: Factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380. There are 36 integers that are factors of 7380. The greatest factor of 7380 is 7380.

3. 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.

4. How to Find the GCF of 7380 and 7385?

Answer:

Greatest Common Factor of 7380 and 7385 = 5

Step 1: Find the prime factorization of 7380

7380 = 2 x 2 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 7385

7385 = 5 x 7 x 211

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7380 and 7385 is 5