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 27003, 27010 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 27003 and 27010 is 1.
GCF(27003,27010) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 27003
3 | 27003 |
9001 | 9001 |
1 |
Prime factors of 27003 are 3,9001. Prime factorization of 27003 in exponential form is:
27003 = 31×90011
Prime Factorization of 27010
2 | 27010 |
5 | 13505 |
37 | 2701 |
73 | 73 |
1 |
Prime factors of 27010 are 2,5,37,73. Prime factorization of 27010 in exponential form is:
27010 = 21×51×371×731
∴ So by taking common prime factors GCF of 27003 and 27010 is 1
Factors of 27003
List of positive integer factors of 27003 that divides 27003 without a remainder.
1,3,9001,27003
Factors of 27010
List of positive integer factors of 27010 that divides 27010 without a remainder.
1,2,5,10,37,73,74,146,185,365,370,730,2701,5402,13505,27010
Greatest Common Factor
We found the factors and prime factorization of 27003 and 27010. The biggest common factor number is the GCF number.
So the greatest common factor 27003 and 27010 is 1.
Also check out the Least Common Multiple of 27003 and 27010
(i) The GCF of 27003 and 27010 is associative
GCF of 27003 and 27010 = GCF of 27010 and 27003
1. What is the GCF of 27003 and 27010?
Answer: GCF of 27003 and 27010 is 1.
2. What are the Factors of 27003?
Answer: Factors of 27003 are 1, 3, 9001, 27003. There are 4 integers that are factors of 27003. The greatest factor of 27003 is 27003.
3. What are the Factors of 27010?
Answer: Factors of 27010 are 1, 2, 5, 10, 37, 73, 74, 146, 185, 365, 370, 730, 2701, 5402, 13505, 27010. There are 16 integers that are factors of 27010. The greatest factor of 27010 is 27010.
4. How to Find the GCF of 27003 and 27010?
Answer:
Greatest Common Factor of 27003 and 27010 = 1
Step 1: Find the prime factorization of 27003
27003 = 3 x 9001
Step 2: Find the prime factorization of 27010
27010 = 2 x 5 x 37 x 73
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 27003 and 27010 is 1