Greatest Common Factor of 5360 and 5361

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 5360, 5361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5360 and 5361 is 1.

GCF(5360,5361) = 1

GCF of 5360 and 5361

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

GCF of:
and

Greatest Common Factor of 5360 and 5361

GCF of 5360 and 5361 is 1

Prime Factorization of 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2,5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

Prime Factorization of 5361


3 5361
1787 1787
1

Prime factors of 5361 are 3,1787. Prime factorization of 5361 in exponential form is:

5361 = 31×17871

∴ So by taking common prime factors GCF of 5360 and 5361 is 1

Greatest Common Factor of 5360 and 5361 by matching factors method

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

Factors of 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1,3,1787,5361

Greatest Common Factor

We found the factors and prime factorization of 5360 and 5361. The biggest common factor number is the GCF number.
So the greatest common factor 5360 and 5361 is 1.

Also check out the Least Common Multiple of 5360 and 5361

Properties of GCF 5360 and 5361

(i) The GCF of 5360 and 5361 is associative

GCF of 5360 and 5361 = GCF of 5361 and 5360

Related Greatest Common Factor of 5360

Related Greatest Common Factor of 5361

Frequently Asked Questions on GCF of 5360 and 5361

1. What is the GCF of 5360 and 5361?

Answer: GCF of 5360 and 5361 is 1.

2. What are the Factors of 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

3. What are the Factors of 5361?

Answer: Factors of 5361 are 1, 3, 1787, 5361. There are 4 integers that are factors of 5361. The greatest factor of 5361 is 5361.

4. How to Find the GCF of 5360 and 5361?

Answer:

Greatest Common Factor of 5360 and 5361 = 1

Step 1: Find the prime factorization of 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 5361

5361 = 3 x 1787

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 5360 and 5361 is 1