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 5293, 5295 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5293 and 5295 is 1.
GCF(5293,5295) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5293
67 | 5293 |
79 | 79 |
1 |
Prime factors of 5293 are 67,79. Prime factorization of 5293 in exponential form is:
5293 = 671×791
Prime Factorization of 5295
3 | 5295 |
5 | 1765 |
353 | 353 |
1 |
Prime factors of 5295 are 3,5,353. Prime factorization of 5295 in exponential form is:
5295 = 31×51×3531
∴ So by taking common prime factors GCF of 5293 and 5295 is 1
Factors of 5293
List of positive integer factors of 5293 that divides 5293 without a remainder.
1,67,79,5293
Factors of 5295
List of positive integer factors of 5295 that divides 5295 without a remainder.
1,3,5,15,353,1059,1765,5295
Greatest Common Factor
We found the factors and prime factorization of 5293 and 5295. The biggest common factor number is the GCF number.
So the greatest common factor 5293 and 5295 is 1.
Also check out the Least Common Multiple of 5293 and 5295
(i) The GCF of 5293 and 5295 is associative
GCF of 5293 and 5295 = GCF of 5295 and 5293
1. What is the GCF of 5293 and 5295?
Answer: GCF of 5293 and 5295 is 1.
2. What are the Factors of 5293?
Answer: Factors of 5293 are 1, 67, 79, 5293. There are 4 integers that are factors of 5293. The greatest factor of 5293 is 5293.
3. What are the Factors of 5295?
Answer: Factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295. There are 8 integers that are factors of 5295. The greatest factor of 5295 is 5295.
4. How to Find the GCF of 5293 and 5295?
Answer:
Greatest Common Factor of 5293 and 5295 = 1
Step 1: Find the prime factorization of 5293
5293 = 67 x 79
Step 2: Find the prime factorization of 5295
5295 = 3 x 5 x 353
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 5293 and 5295 is 1