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 36304, 36308 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36304 and 36308 is 4.
GCF(36304,36308) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36304
2 | 36304 |
2 | 18152 |
2 | 9076 |
2 | 4538 |
2269 | 2269 |
1 |
Prime factors of 36304 are 2,2269. Prime factorization of 36304 in exponential form is:
36304 = 24×22691
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
∴ So by taking common prime factors GCF of 36304 and 36308 is 4
Factors of 36304
List of positive integer factors of 36304 that divides 36304 without a remainder.
1,2,4,8,16,2269,4538,9076,18152,36304
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
Greatest Common Factor
We found the factors and prime factorization of 36304 and 36308. The biggest common factor number is the GCF number.
So the greatest common factor 36304 and 36308 is 4.
Also check out the Least Common Multiple of 36304 and 36308
(i) The GCF of 36304 and 36308 is associative
GCF of 36304 and 36308 = GCF of 36308 and 36304
1. What is the GCF of 36304 and 36308?
Answer: GCF of 36304 and 36308 is 4.
2. What are the Factors of 36304?
Answer: Factors of 36304 are 1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304. There are 10 integers that are factors of 36304. The greatest factor of 36304 is 36304.
3. 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.
4. How to Find the GCF of 36304 and 36308?
Answer:
Greatest Common Factor of 36304 and 36308 = 4
Step 1: Find the prime factorization of 36304
36304 = 2 x 2 x 2 x 2 x 2269
Step 2: Find the prime factorization of 36308
36308 = 2 x 2 x 29 x 313
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 36304 and 36308 is 4