Greatest Common Factor of 7375 and 7380

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 7375, 7380 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7375 and 7380 is 5.

GCF(7375,7380) = 5

GCF of 7375 and 7380

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

GCF of:
and

Greatest Common Factor of 7375 and 7380

GCF of 7375 and 7380 is 5

Prime Factorization of 7375


5 7375
5 1475
5 295
59 59
1

Prime factors of 7375 are 5,59. Prime factorization of 7375 in exponential form is:

7375 = 53×591

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

∴ So by taking common prime factors GCF of 7375 and 7380 is 5

Greatest Common Factor of 7375 and 7380 by matching factors method

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1,5,25,59,125,295,1475,7375

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

Greatest Common Factor

We found the factors and prime factorization of 7375 and 7380. The biggest common factor number is the GCF number.
So the greatest common factor 7375 and 7380 is 5.

Also check out the Least Common Multiple of 7375 and 7380

Properties of GCF 7375 and 7380

(i) The GCF of 7375 and 7380 is associative

GCF of 7375 and 7380 = GCF of 7380 and 7375

Related Greatest Common Factor of 7375

Related Greatest Common Factor of 7380

Frequently Asked Questions on GCF of 7375 and 7380

1. What is the GCF of 7375 and 7380?

Answer: GCF of 7375 and 7380 is 5.

2. What are the Factors of 7375?

Answer: Factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375. There are 8 integers that are factors of 7375. The greatest factor of 7375 is 7375.

3. 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.

4. How to Find the GCF of 7375 and 7380?

Answer:

Greatest Common Factor of 7375 and 7380 = 5

Step 1: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

Step 2: Find the prime factorization of 7380

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

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 7375 and 7380 is 5