Greatest Common Factor of 7375 and 7379

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, 7379 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7375 and 7379 is 1.

GCF(7375,7379) = 1

GCF of 7375 and 7379

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

GCF of:
and

Greatest Common Factor of 7375 and 7379

GCF of 7375 and 7379 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 7379


47 7379
157 157
1

Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:

7379 = 471×1571

∴ So by taking common prime factors GCF of 7375 and 7379 is 1

Greatest Common Factor of 7375 and 7379 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 7379

List of positive integer factors of 7379 that divides 7379 without a remainder.

1,47,157,7379

Greatest Common Factor

We found the factors and prime factorization of 7375 and 7379. The biggest common factor number is the GCF number.
So the greatest common factor 7375 and 7379 is 1.

Also check out the Least Common Multiple of 7375 and 7379

Properties of GCF 7375 and 7379

(i) The GCF of 7375 and 7379 is associative

GCF of 7375 and 7379 = GCF of 7379 and 7375

Frequently Asked Questions on GCF of 7375 and 7379

1. What is the GCF of 7375 and 7379?

Answer: GCF of 7375 and 7379 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 7379?

Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.

4. How to Find the GCF of 7375 and 7379?

Answer:

Greatest Common Factor of 7375 and 7379 = 1

Step 1: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

Step 2: Find the prime factorization of 7379

7379 = 47 x 157

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 7379 is 1