Greatest Common Factor of 1355 and 1360

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 1355, 1360 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1355 and 1360 is 5.

GCF(1355,1360) = 5

GCF of 1355 and 1360

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

GCF of:
and

Greatest Common Factor of 1355 and 1360

GCF of 1355 and 1360 is 5

Prime Factorization of 1355


5 1355
271 271
1

Prime factors of 1355 are 5,271. Prime factorization of 1355 in exponential form is:

1355 = 51×2711

Prime Factorization of 1360


2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 1360 are 2,5,17. Prime factorization of 1360 in exponential form is:

1360 = 24×51×171

∴ So by taking common prime factors GCF of 1355 and 1360 is 5

Greatest Common Factor of 1355 and 1360 by matching factors method

Factors of 1355

List of positive integer factors of 1355 that divides 1355 without a remainder.

1,5,271,1355

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Greatest Common Factor

We found the factors and prime factorization of 1355 and 1360. The biggest common factor number is the GCF number.
So the greatest common factor 1355 and 1360 is 5.

Also check out the Least Common Multiple of 1355 and 1360

Properties of GCF 1355 and 1360

(i) The GCF of 1355 and 1360 is associative

GCF of 1355 and 1360 = GCF of 1360 and 1355

Related Greatest Common Factor of 1355

Related Greatest Common Factor of 1360

Frequently Asked Questions on GCF of 1355 and 1360

1. What is the GCF of 1355 and 1360?

Answer: GCF of 1355 and 1360 is 5.

2. What are the Factors of 1355?

Answer: Factors of 1355 are 1, 5, 271, 1355. There are 4 integers that are factors of 1355. The greatest factor of 1355 is 1355.

3. What are the Factors of 1360?

Answer: Factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. There are 20 integers that are factors of 1360. The greatest factor of 1360 is 1360.

4. How to Find the GCF of 1355 and 1360?

Answer:

Greatest Common Factor of 1355 and 1360 = 5

Step 1: Find the prime factorization of 1355

1355 = 5 x 271

Step 2: Find the prime factorization of 1360

1360 = 2 x 2 x 2 x 2 x 5 x 17

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 1355 and 1360 is 5