Greatest Common Factor of 5375 and 5377

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, 5377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5375 and 5377 is 1.

GCF(5375,5377) = 1

GCF of 5375 and 5377

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

GCF of:
and

Greatest Common Factor of 5375 and 5377

GCF of 5375 and 5377 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 5377


19 5377
283 283
1

Prime factors of 5377 are 19,283. Prime factorization of 5377 in exponential form is:

5377 = 191×2831

∴ So by taking common prime factors GCF of 5375 and 5377 is 1

Greatest Common Factor of 5375 and 5377 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 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Greatest Common Factor

We found the factors and prime factorization of 5375 and 5377. The biggest common factor number is the GCF number.
So the greatest common factor 5375 and 5377 is 1.

Also check out the Least Common Multiple of 5375 and 5377

Properties of GCF 5375 and 5377

(i) The GCF of 5375 and 5377 is associative

GCF of 5375 and 5377 = GCF of 5377 and 5375

Frequently Asked Questions on GCF of 5375 and 5377

1. What is the GCF of 5375 and 5377?

Answer: GCF of 5375 and 5377 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 5377?

Answer: Factors of 5377 are 1, 19, 283, 5377. There are 4 integers that are factors of 5377. The greatest factor of 5377 is 5377.

4. How to Find the GCF of 5375 and 5377?

Answer:

Greatest Common Factor of 5375 and 5377 = 1

Step 1: Find the prime factorization of 5375

5375 = 5 x 5 x 5 x 43

Step 2: Find the prime factorization of 5377

5377 = 19 x 283

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 5377 is 1