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, 5365 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5360 and 5365 is 5.
GCF(5360,5365) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 5365
5 | 5365 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 5365 are 5,29,37. Prime factorization of 5365 in exponential form is:
5365 = 51×291×371
∴ So by taking common prime factors GCF of 5360 and 5365 is 5
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 5365
List of positive integer factors of 5365 that divides 5365 without a remainder.
1,5,29,37,145,185,1073,5365
Greatest Common Factor
We found the factors and prime factorization of 5360 and 5365. The biggest common factor number is the GCF number.
So the greatest common factor 5360 and 5365 is 5.
Also check out the Least Common Multiple of 5360 and 5365
(i) The GCF of 5360 and 5365 is associative
GCF of 5360 and 5365 = GCF of 5365 and 5360
1. What is the GCF of 5360 and 5365?
Answer: GCF of 5360 and 5365 is 5.
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 5365?
Answer: Factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365. There are 8 integers that are factors of 5365. The greatest factor of 5365 is 5365.
4. How to Find the GCF of 5360 and 5365?
Answer:
Greatest Common Factor of 5360 and 5365 = 5
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 5365
5365 = 5 x 29 x 37
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 5360 and 5365 is 5