Greatest Common Factor of 15371 and 15376

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 15371, 15376 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15371 and 15376 is 1.

GCF(15371,15376) = 1

GCF of 15371 and 15376

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

GCF of:
and

Greatest Common Factor of 15371 and 15376

GCF of 15371 and 15376 is 1

Prime Factorization of 15371


19 15371
809 809
1

Prime factors of 15371 are 19,809. Prime factorization of 15371 in exponential form is:

15371 = 191×8091

Prime Factorization of 15376


2 15376
2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 15376 are 2,31. Prime factorization of 15376 in exponential form is:

15376 = 24×312

∴ So by taking common prime factors GCF of 15371 and 15376 is 1

Greatest Common Factor of 15371 and 15376 by matching factors method

Factors of 15371

List of positive integer factors of 15371 that divides 15371 without a remainder.

1,19,809,15371

Factors of 15376

List of positive integer factors of 15376 that divides 15376 without a remainder.

1,2,4,8,16,31,62,124,248,496,961,1922,3844,7688,15376

Greatest Common Factor

We found the factors and prime factorization of 15371 and 15376. The biggest common factor number is the GCF number.
So the greatest common factor 15371 and 15376 is 1.

Also check out the Least Common Multiple of 15371 and 15376

Properties of GCF 15371 and 15376

(i) The GCF of 15371 and 15376 is associative

GCF of 15371 and 15376 = GCF of 15376 and 15371

Related Greatest Common Factor of 15371

Related Greatest Common Factor of 15376

Frequently Asked Questions on GCF of 15371 and 15376

1. What is the GCF of 15371 and 15376?

Answer: GCF of 15371 and 15376 is 1.

2. What are the Factors of 15371?

Answer: Factors of 15371 are 1, 19, 809, 15371. There are 4 integers that are factors of 15371. The greatest factor of 15371 is 15371.

3. What are the Factors of 15376?

Answer: Factors of 15376 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376. There are 15 integers that are factors of 15376. The greatest factor of 15376 is 15376.

4. How to Find the GCF of 15371 and 15376?

Answer:

Greatest Common Factor of 15371 and 15376 = 1

Step 1: Find the prime factorization of 15371

15371 = 19 x 809

Step 2: Find the prime factorization of 15376

15376 = 2 x 2 x 2 x 2 x 31 x 31

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 15371 and 15376 is 1