Greatest Common Factor of 7375 and 7381

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, 7381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7375 and 7381 is 1.

GCF(7375,7381) = 1

GCF of 7375 and 7381

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

GCF of:
and

Greatest Common Factor of 7375 and 7381

GCF of 7375 and 7381 is 1

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 7381


11 7381
11 671
61 61
1

Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:

7381 = 112×611

∴ So by taking common prime factors GCF of 7375 and 7381 is 1

Greatest Common Factor of 7375 and 7381 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 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1,11,61,121,671,7381

Greatest Common Factor

We found the factors and prime factorization of 7375 and 7381. The biggest common factor number is the GCF number.
So the greatest common factor 7375 and 7381 is 1.

Also check out the Least Common Multiple of 7375 and 7381

Properties of GCF 7375 and 7381

(i) The GCF of 7375 and 7381 is associative

GCF of 7375 and 7381 = GCF of 7381 and 7375

Related Greatest Common Factor of 7375

Related Greatest Common Factor of 7381

Frequently Asked Questions on GCF of 7375 and 7381

1. What is the GCF of 7375 and 7381?

Answer: GCF of 7375 and 7381 is 1.

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 7381?

Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.

4. How to Find the GCF of 7375 and 7381?

Answer:

Greatest Common Factor of 7375 and 7381 = 1

Step 1: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

Step 2: Find the prime factorization of 7381

7381 = 11 x 11 x 61

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7375 and 7381 is 1