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 10135, 10143 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10135 and 10143 is 1.
GCF(10135,10143) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10135
5 | 10135 |
2027 | 2027 |
1 |
Prime factors of 10135 are 5,2027. Prime factorization of 10135 in exponential form is:
10135 = 51×20271
Prime Factorization of 10143
3 | 10143 |
3 | 3381 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 10143 are 3,7,23. Prime factorization of 10143 in exponential form is:
10143 = 32×72×231
∴ So by taking common prime factors GCF of 10135 and 10143 is 1
Factors of 10135
List of positive integer factors of 10135 that divides 10135 without a remainder.
1,5,2027,10135
Factors of 10143
List of positive integer factors of 10143 that divides 10143 without a remainder.
1,3,7,9,21,23,49,63,69,147,161,207,441,483,1127,1449,3381,10143
Greatest Common Factor
We found the factors and prime factorization of 10135 and 10143. The biggest common factor number is the GCF number.
So the greatest common factor 10135 and 10143 is 1.
Also check out the Least Common Multiple of 10135 and 10143
(i) The GCF of 10135 and 10143 is associative
GCF of 10135 and 10143 = GCF of 10143 and 10135
1. What is the GCF of 10135 and 10143?
Answer: GCF of 10135 and 10143 is 1.
2. What are the Factors of 10135?
Answer: Factors of 10135 are 1, 5, 2027, 10135. There are 4 integers that are factors of 10135. The greatest factor of 10135 is 10135.
3. What are the Factors of 10143?
Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.
4. How to Find the GCF of 10135 and 10143?
Answer:
Greatest Common Factor of 10135 and 10143 = 1
Step 1: Find the prime factorization of 10135
10135 = 5 x 2027
Step 2: Find the prime factorization of 10143
10143 = 3 x 3 x 7 x 7 x 23
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 10135 and 10143 is 1