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, 1359 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1355 and 1359 is 1.
GCF(1355,1359) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1359
3 | 1359 |
3 | 453 |
151 | 151 |
1 |
Prime factors of 1359 are 3,151. Prime factorization of 1359 in exponential form is:
1359 = 32×1511
∴ So by taking common prime factors GCF of 1355 and 1359 is 1
Factors of 1355
List of positive integer factors of 1355 that divides 1355 without a remainder.
1,5,271,1355
Factors of 1359
List of positive integer factors of 1359 that divides 1359 without a remainder.
1,3,9,151,453,1359
Greatest Common Factor
We found the factors and prime factorization of 1355 and 1359. The biggest common factor number is the GCF number.
So the greatest common factor 1355 and 1359 is 1.
Also check out the Least Common Multiple of 1355 and 1359
(i) The GCF of 1355 and 1359 is associative
GCF of 1355 and 1359 = GCF of 1359 and 1355
1. What is the GCF of 1355 and 1359?
Answer: GCF of 1355 and 1359 is 1.
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 1359?
Answer: Factors of 1359 are 1, 3, 9, 151, 453, 1359. There are 6 integers that are factors of 1359. The greatest factor of 1359 is 1359.
4. How to Find the GCF of 1355 and 1359?
Answer:
Greatest Common Factor of 1355 and 1359 = 1
Step 1: Find the prime factorization of 1355
1355 = 5 x 271
Step 2: Find the prime factorization of 1359
1359 = 3 x 3 x 151
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 1355 and 1359 is 1