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 36308, 36315 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36308 and 36315 is 1.
GCF(36308,36315) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36308
2 | 36308 |
2 | 18154 |
29 | 9077 |
313 | 313 |
1 |
Prime factors of 36308 are 2,29,313. Prime factorization of 36308 in exponential form is:
36308 = 22×291×3131
Prime Factorization of 36315
3 | 36315 |
3 | 12105 |
3 | 4035 |
5 | 1345 |
269 | 269 |
1 |
Prime factors of 36315 are 3,5,269. Prime factorization of 36315 in exponential form is:
36315 = 33×51×2691
∴ So by taking common prime factors GCF of 36308 and 36315 is 1
Factors of 36308
List of positive integer factors of 36308 that divides 36308 without a remainder.
1,2,4,29,58,116,313,626,1252,9077,18154,36308
Factors of 36315
List of positive integer factors of 36315 that divides 36315 without a remainder.
1,3,5,9,15,27,45,135,269,807,1345,2421,4035,7263,12105,36315
Greatest Common Factor
We found the factors and prime factorization of 36308 and 36315. The biggest common factor number is the GCF number.
So the greatest common factor 36308 and 36315 is 1.
Also check out the Least Common Multiple of 36308 and 36315
(i) The GCF of 36308 and 36315 is associative
GCF of 36308 and 36315 = GCF of 36315 and 36308
1. What is the GCF of 36308 and 36315?
Answer: GCF of 36308 and 36315 is 1.
2. What are the Factors of 36308?
Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.
3. What are the Factors of 36315?
Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.
4. How to Find the GCF of 36308 and 36315?
Answer:
Greatest Common Factor of 36308 and 36315 = 1
Step 1: Find the prime factorization of 36308
36308 = 2 x 2 x 29 x 313
Step 2: Find the prime factorization of 36315
36315 = 3 x 3 x 3 x 5 x 269
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 36308 and 36315 is 1