Greatest Common Factor of 11375 and 11377

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 11375, 11377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11375 and 11377 is 1.

GCF(11375,11377) = 1

GCF of 11375 and 11377

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

GCF of:
and

Greatest Common Factor of 11375 and 11377

GCF of 11375 and 11377 is 1

Prime Factorization of 11375


5 11375
5 2275
5 455
7 91
13 13
1

Prime factors of 11375 are 5,7,13. Prime factorization of 11375 in exponential form is:

11375 = 53×71×131

Prime Factorization of 11377


31 11377
367 367
1

Prime factors of 11377 are 31,367. Prime factorization of 11377 in exponential form is:

11377 = 311×3671

∴ So by taking common prime factors GCF of 11375 and 11377 is 1

Greatest Common Factor of 11375 and 11377 by matching factors method

Factors of 11375

List of positive integer factors of 11375 that divides 11375 without a remainder.

1,5,7,13,25,35,65,91,125,175,325,455,875,1625,2275,11375

Factors of 11377

List of positive integer factors of 11377 that divides 11377 without a remainder.

1,31,367,11377

Greatest Common Factor

We found the factors and prime factorization of 11375 and 11377. The biggest common factor number is the GCF number.
So the greatest common factor 11375 and 11377 is 1.

Also check out the Least Common Multiple of 11375 and 11377

Properties of GCF 11375 and 11377

(i) The GCF of 11375 and 11377 is associative

GCF of 11375 and 11377 = GCF of 11377 and 11375

Related Greatest Common Factor of 11375

Related Greatest Common Factor of 11377

Frequently Asked Questions on GCF of 11375 and 11377

1. What is the GCF of 11375 and 11377?

Answer: GCF of 11375 and 11377 is 1.

2. What are the Factors of 11375?

Answer: Factors of 11375 are 1, 5, 7, 13, 25, 35, 65, 91, 125, 175, 325, 455, 875, 1625, 2275, 11375. There are 16 integers that are factors of 11375. The greatest factor of 11375 is 11375.

3. What are the Factors of 11377?

Answer: Factors of 11377 are 1, 31, 367, 11377. There are 4 integers that are factors of 11377. The greatest factor of 11377 is 11377.

4. How to Find the GCF of 11375 and 11377?

Answer:

Greatest Common Factor of 11375 and 11377 = 1

Step 1: Find the prime factorization of 11375

11375 = 5 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 11377

11377 = 31 x 367

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 11375 and 11377 is 1