Greatest Common Factor of 1309 and 1315

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 1309, 1315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1309 and 1315 is 1.

GCF(1309,1315) = 1

GCF of 1309 and 1315

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

GCF of:
and

Greatest Common Factor of 1309 and 1315

GCF of 1309 and 1315 is 1

Prime Factorization of 1309


7 1309
11 187
17 17
1

Prime factors of 1309 are 7,11,17. Prime factorization of 1309 in exponential form is:

1309 = 71×111×171

Prime Factorization of 1315


5 1315
263 263
1

Prime factors of 1315 are 5,263. Prime factorization of 1315 in exponential form is:

1315 = 51×2631

∴ So by taking common prime factors GCF of 1309 and 1315 is 1

Greatest Common Factor of 1309 and 1315 by matching factors method

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

Factors of 1315

List of positive integer factors of 1315 that divides 1315 without a remainder.

1,5,263,1315

Greatest Common Factor

We found the factors and prime factorization of 1309 and 1315. The biggest common factor number is the GCF number.
So the greatest common factor 1309 and 1315 is 1.

Also check out the Least Common Multiple of 1309 and 1315

Properties of GCF 1309 and 1315

(i) The GCF of 1309 and 1315 is associative

GCF of 1309 and 1315 = GCF of 1315 and 1309

Related Greatest Common Factor of 1309

Related Greatest Common Factor of 1315

Frequently Asked Questions on GCF of 1309 and 1315

1. What is the GCF of 1309 and 1315?

Answer: GCF of 1309 and 1315 is 1.

2. What are the Factors of 1309?

Answer: Factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. There are 8 integers that are factors of 1309. The greatest factor of 1309 is 1309.

3. What are the Factors of 1315?

Answer: Factors of 1315 are 1, 5, 263, 1315. There are 4 integers that are factors of 1315. The greatest factor of 1315 is 1315.

4. How to Find the GCF of 1309 and 1315?

Answer:

Greatest Common Factor of 1309 and 1315 = 1

Step 1: Find the prime factorization of 1309

1309 = 7 x 11 x 17

Step 2: Find the prime factorization of 1315

1315 = 5 x 263

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 1309 and 1315 is 1