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 36301, 36305 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36301 and 36305 is 1.
GCF(36301,36305) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36301
31 | 36301 |
1171 | 1171 |
1 |
Prime factors of 36301 are 31,1171. Prime factorization of 36301 in exponential form is:
36301 = 311×11711
Prime Factorization of 36305
5 | 36305 |
53 | 7261 |
137 | 137 |
1 |
Prime factors of 36305 are 5,53,137. Prime factorization of 36305 in exponential form is:
36305 = 51×531×1371
∴ So by taking common prime factors GCF of 36301 and 36305 is 1
Factors of 36301
List of positive integer factors of 36301 that divides 36301 without a remainder.
1,31,1171,36301
Factors of 36305
List of positive integer factors of 36305 that divides 36305 without a remainder.
1,5,53,137,265,685,7261,36305
Greatest Common Factor
We found the factors and prime factorization of 36301 and 36305. The biggest common factor number is the GCF number.
So the greatest common factor 36301 and 36305 is 1.
Also check out the Least Common Multiple of 36301 and 36305
(i) The GCF of 36301 and 36305 is associative
GCF of 36301 and 36305 = GCF of 36305 and 36301
1. What is the GCF of 36301 and 36305?
Answer: GCF of 36301 and 36305 is 1.
2. What are the Factors of 36301?
Answer: Factors of 36301 are 1, 31, 1171, 36301. There are 4 integers that are factors of 36301. The greatest factor of 36301 is 36301.
3. What are the Factors of 36305?
Answer: Factors of 36305 are 1, 5, 53, 137, 265, 685, 7261, 36305. There are 8 integers that are factors of 36305. The greatest factor of 36305 is 36305.
4. How to Find the GCF of 36301 and 36305?
Answer:
Greatest Common Factor of 36301 and 36305 = 1
Step 1: Find the prime factorization of 36301
36301 = 31 x 1171
Step 2: Find the prime factorization of 36305
36305 = 5 x 53 x 137
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 36301 and 36305 is 1