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 10103, 10108 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10103 and 10108 is 1.
GCF(10103,10108) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10103
10103 | 10103 |
1 |
Prime factors of 10103 are 10103. Prime factorization of 10103 in exponential form is:
10103 = 101031
Prime Factorization of 10108
2 | 10108 |
2 | 5054 |
7 | 2527 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 10108 are 2.Prime factorization of 10108 in exponential form is:
10108 = 22×71×192
∴ So by taking common prime factors GCF of 10103 and 10108 is 1
Factors of 10103
List of positive integer factors of 10103 that divides 10103 without a remainder.
1,10103
Factors of 10108
List of positive integer factors of 10108 that divides 10108 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,361,532,722,1444,2527,5054,10108
Greatest Common Factor
We found the factors and prime factorization of 10103 and 10108. The biggest common factor number is the GCF number.
So the greatest common factor 10103 and 10108 is 1.
Also check out the Least Common Multiple of 10103 and 10108
(i) The GCF of 10103 and 10108 is associative
GCF of 10103 and 10108 = GCF of 10108 and 10103
1. What is the GCF of 10103 and 10108?
Answer: GCF of 10103 and 10108 is 1.
2. What are the Factors of 10103?
Answer: Factors of 10103 are 1, 10103. There are 2 integers that are factors of 10103. The greatest factor of 10103 is 10103.
3. What are the Factors of 10108?
Answer: Factors of 10108 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 361, 532, 722, 1444, 2527, 5054, 10108. There are 18 integers that are factors of 10108. The greatest factor of 10108 is 10108.
4. How to Find the GCF of 10103 and 10108?
Answer:
Greatest Common Factor of 10103 and 10108 = 1
Step 1: Find the prime factorization of 10103
10103 = 10103
Step 2: Find the prime factorization of 10108
10108 = 2 x 2 x 7 x 19 x 19
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 10103 and 10108 is 1