Greatest Common Factor of 8315 and 8319

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 8315, 8319 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8315 and 8319 is 1.

GCF(8315,8319) = 1

GCF of 8315 and 8319

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

GCF of:
and

Greatest Common Factor of 8315 and 8319

GCF of 8315 and 8319 is 1

Prime Factorization of 8315


5 8315
1663 1663
1

Prime factors of 8315 are 5,1663. Prime factorization of 8315 in exponential form is:

8315 = 51×16631

Prime Factorization of 8319


3 8319
47 2773
59 59
1

Prime factors of 8319 are 3,47,59. Prime factorization of 8319 in exponential form is:

8319 = 31×471×591

∴ So by taking common prime factors GCF of 8315 and 8319 is 1

Greatest Common Factor of 8315 and 8319 by matching factors method

Factors of 8315

List of positive integer factors of 8315 that divides 8315 without a remainder.

1,5,1663,8315

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1,3,47,59,141,177,2773,8319

Greatest Common Factor

We found the factors and prime factorization of 8315 and 8319. The biggest common factor number is the GCF number.
So the greatest common factor 8315 and 8319 is 1.

Also check out the Least Common Multiple of 8315 and 8319

Properties of GCF 8315 and 8319

(i) The GCF of 8315 and 8319 is associative

GCF of 8315 and 8319 = GCF of 8319 and 8315

Related Greatest Common Factor of 8315

Related Greatest Common Factor of 8319

Frequently Asked Questions on GCF of 8315 and 8319

1. What is the GCF of 8315 and 8319?

Answer: GCF of 8315 and 8319 is 1.

2. What are the Factors of 8315?

Answer: Factors of 8315 are 1, 5, 1663, 8315. There are 4 integers that are factors of 8315. The greatest factor of 8315 is 8315.

3. What are the Factors of 8319?

Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.

4. How to Find the GCF of 8315 and 8319?

Answer:

Greatest Common Factor of 8315 and 8319 = 1

Step 1: Find the prime factorization of 8315

8315 = 5 x 1663

Step 2: Find the prime factorization of 8319

8319 = 3 x 47 x 59

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 8315 and 8319 is 1