Greatest Common Factor of 5375 and 5378

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 5375, 5378 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5375 and 5378 is 1.

GCF(5375,5378) = 1

GCF of 5375 and 5378

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

GCF of:
and

Greatest Common Factor of 5375 and 5378

GCF of 5375 and 5378 is 1

Prime Factorization of 5375


5 5375
5 1075
5 215
43 43
1

Prime factors of 5375 are 5,43. Prime factorization of 5375 in exponential form is:

5375 = 53×431

Prime Factorization of 5378


2 5378
2689 2689
1

Prime factors of 5378 are 2,2689. Prime factorization of 5378 in exponential form is:

5378 = 21×26891

∴ So by taking common prime factors GCF of 5375 and 5378 is 1

Greatest Common Factor of 5375 and 5378 by matching factors method

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Factors of 5378

List of positive integer factors of 5378 that divides 5378 without a remainder.

1,2,2689,5378

Greatest Common Factor

We found the factors and prime factorization of 5375 and 5378. The biggest common factor number is the GCF number.
So the greatest common factor 5375 and 5378 is 1.

Also check out the Least Common Multiple of 5375 and 5378

Properties of GCF 5375 and 5378

(i) The GCF of 5375 and 5378 is associative

GCF of 5375 and 5378 = GCF of 5378 and 5375

Related Greatest Common Factor of 5375

Related Greatest Common Factor of 5378

Frequently Asked Questions on GCF of 5375 and 5378

1. What is the GCF of 5375 and 5378?

Answer: GCF of 5375 and 5378 is 1.

2. What are the Factors of 5375?

Answer: Factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375. There are 8 integers that are factors of 5375. The greatest factor of 5375 is 5375.

3. What are the Factors of 5378?

Answer: Factors of 5378 are 1, 2, 2689, 5378. There are 4 integers that are factors of 5378. The greatest factor of 5378 is 5378.

4. How to Find the GCF of 5375 and 5378?

Answer:

Greatest Common Factor of 5375 and 5378 = 1

Step 1: Find the prime factorization of 5375

5375 = 5 x 5 x 5 x 43

Step 2: Find the prime factorization of 5378

5378 = 2 x 2689

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 5375 and 5378 is 1