Greatest Common Factor of 1315 and 1320

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 1315, 1320 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1315 and 1320 is 5.

GCF(1315,1320) = 5

GCF of 1315 and 1320

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

GCF of:
and

Greatest Common Factor of 1315 and 1320

GCF of 1315 and 1320 is 5

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

Prime Factorization of 1320


2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 1320 are 2,3,5,11. Prime factorization of 1320 in exponential form is:

1320 = 23×31×51×111

∴ So by taking common prime factors GCF of 1315 and 1320 is 5

Greatest Common Factor of 1315 and 1320 by matching factors method

Factors of 1315

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

1,5,263,1315

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors and prime factorization of 1315 and 1320. The biggest common factor number is the GCF number.
So the greatest common factor 1315 and 1320 is 5.

Also check out the Least Common Multiple of 1315 and 1320

Properties of GCF 1315 and 1320

(i) The GCF of 1315 and 1320 is associative

GCF of 1315 and 1320 = GCF of 1320 and 1315

Related Greatest Common Factor of 1315

Related Greatest Common Factor of 1320

Frequently Asked Questions on GCF of 1315 and 1320

1. What is the GCF of 1315 and 1320?

Answer: GCF of 1315 and 1320 is 5.

2. 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.

3. What are the Factors of 1320?

Answer: Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. There are 32 integers that are factors of 1320. The greatest factor of 1320 is 1320.

4. How to Find the GCF of 1315 and 1320?

Answer:

Greatest Common Factor of 1315 and 1320 = 5

Step 1: Find the prime factorization of 1315

1315 = 5 x 263

Step 2: Find the prime factorization of 1320

1320 = 2 x 2 x 2 x 3 x 5 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 1315 and 1320 is 5