Greatest Common Factor of 1360 and 1364

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 1360, 1364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1360 and 1364 is 4.

GCF(1360,1364) = 4

GCF of 1360 and 1364

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

GCF of:
and

Greatest Common Factor of 1360 and 1364

GCF of 1360 and 1364 is 4

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

Prime Factorization of 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2,11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

∴ So by taking common prime factors GCF of 1360 and 1364 is 4

Greatest Common Factor of 1360 and 1364 by matching factors method

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

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1,2,4,11,22,31,44,62,124,341,682,1364

Greatest Common Factor

We found the factors and prime factorization of 1360 and 1364. The biggest common factor number is the GCF number.
So the greatest common factor 1360 and 1364 is 4.

Also check out the Least Common Multiple of 1360 and 1364

Properties of GCF 1360 and 1364

(i) The GCF of 1360 and 1364 is associative

GCF of 1360 and 1364 = GCF of 1364 and 1360

Related Greatest Common Factor of 1360

Related Greatest Common Factor of 1364

Frequently Asked Questions on GCF of 1360 and 1364

1. What is the GCF of 1360 and 1364?

Answer: GCF of 1360 and 1364 is 4.

2. 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.

3. What are the Factors of 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

4. How to Find the GCF of 1360 and 1364?

Answer:

Greatest Common Factor of 1360 and 1364 = 4

Step 1: Find the prime factorization of 1360

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

Step 2: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1360 and 1364 is 4