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 65008, 65015 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 65008 and 65015 is 1.
GCF(65008,65015) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 65008
2 | 65008 |
2 | 32504 |
2 | 16252 |
2 | 8126 |
17 | 4063 |
239 | 239 |
1 |
Prime factors of 65008 are 2,17,239. Prime factorization of 65008 in exponential form is:
65008 = 24×171×2391
Prime Factorization of 65015
5 | 65015 |
13003 | 13003 |
1 |
Prime factors of 65015 are 5,13003. Prime factorization of 65015 in exponential form is:
65015 = 51×130031
∴ So by taking common prime factors GCF of 65008 and 65015 is 1
Factors of 65008
List of positive integer factors of 65008 that divides 65008 without a remainder.
1,2,4,8,16,17,34,68,136,239,272,478,956,1912,3824,4063,8126,16252,32504,65008
Factors of 65015
List of positive integer factors of 65015 that divides 65015 without a remainder.
1,5,13003,65015
Greatest Common Factor
We found the factors and prime factorization of 65008 and 65015. The biggest common factor number is the GCF number.
So the greatest common factor 65008 and 65015 is 1.
Also check out the Least Common Multiple of 65008 and 65015
(i) The GCF of 65008 and 65015 is associative
GCF of 65008 and 65015 = GCF of 65015 and 65008
1. What is the GCF of 65008 and 65015?
Answer: GCF of 65008 and 65015 is 1.
2. What are the Factors of 65008?
Answer: Factors of 65008 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 239, 272, 478, 956, 1912, 3824, 4063, 8126, 16252, 32504, 65008. There are 20 integers that are factors of 65008. The greatest factor of 65008 is 65008.
3. What are the Factors of 65015?
Answer: Factors of 65015 are 1, 5, 13003, 65015. There are 4 integers that are factors of 65015. The greatest factor of 65015 is 65015.
4. How to Find the GCF of 65008 and 65015?
Answer:
Greatest Common Factor of 65008 and 65015 = 1
Step 1: Find the prime factorization of 65008
65008 = 2 x 2 x 2 x 2 x 17 x 239
Step 2: Find the prime factorization of 65015
65015 = 5 x 13003
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 65008 and 65015 is 1