Greatest Common Factor of 7315 and 7319

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 7315, 7319 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7315 and 7319 is 1.

GCF(7315,7319) = 1

GCF of 7315 and 7319

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

GCF of:
and

Greatest Common Factor of 7315 and 7319

GCF of 7315 and 7319 is 1

Prime Factorization of 7315


5 7315
7 1463
11 209
19 19
1

Prime factors of 7315 are 5,7,11,19. Prime factorization of 7315 in exponential form is:

7315 = 51×71×111×191

Prime Factorization of 7319


13 7319
563 563
1

Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:

7319 = 131×5631

∴ So by taking common prime factors GCF of 7315 and 7319 is 1

Greatest Common Factor of 7315 and 7319 by matching factors method

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1,13,563,7319

Greatest Common Factor

We found the factors and prime factorization of 7315 and 7319. The biggest common factor number is the GCF number.
So the greatest common factor 7315 and 7319 is 1.

Also check out the Least Common Multiple of 7315 and 7319

Properties of GCF 7315 and 7319

(i) The GCF of 7315 and 7319 is associative

GCF of 7315 and 7319 = GCF of 7319 and 7315

Related Greatest Common Factor of 7315

Related Greatest Common Factor of 7319

Frequently Asked Questions on GCF of 7315 and 7319

1. What is the GCF of 7315 and 7319?

Answer: GCF of 7315 and 7319 is 1.

2. What are the Factors of 7315?

Answer: Factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315. There are 16 integers that are factors of 7315. The greatest factor of 7315 is 7315.

3. What are the Factors of 7319?

Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.

4. How to Find the GCF of 7315 and 7319?

Answer:

Greatest Common Factor of 7315 and 7319 = 1

Step 1: Find the prime factorization of 7315

7315 = 5 x 7 x 11 x 19

Step 2: Find the prime factorization of 7319

7319 = 13 x 563

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 7315 and 7319 is 1