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 2103, 2104 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2103 and 2104 is 1.
GCF(2103,2104) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2103
3 | 2103 |
701 | 701 |
1 |
Prime factors of 2103 are 3,701. Prime factorization of 2103 in exponential form is:
2103 = 31×7011
Prime Factorization of 2104
2 | 2104 |
2 | 1052 |
2 | 526 |
263 | 263 |
1 |
Prime factors of 2104 are 2,263. Prime factorization of 2104 in exponential form is:
2104 = 23×2631
∴ So by taking common prime factors GCF of 2103 and 2104 is 1
Factors of 2103
List of positive integer factors of 2103 that divides 2103 without a remainder.
1,3,701,2103
Factors of 2104
List of positive integer factors of 2104 that divides 2104 without a remainder.
1,2,4,8,263,526,1052,2104
Greatest Common Factor
We found the factors and prime factorization of 2103 and 2104. The biggest common factor number is the GCF number.
So the greatest common factor 2103 and 2104 is 1.
Also check out the Least Common Multiple of 2103 and 2104
(i) The GCF of 2103 and 2104 is associative
GCF of 2103 and 2104 = GCF of 2104 and 2103
1. What is the GCF of 2103 and 2104?
Answer: GCF of 2103 and 2104 is 1.
2. What are the Factors of 2103?
Answer: Factors of 2103 are 1, 3, 701, 2103. There are 4 integers that are factors of 2103. The greatest factor of 2103 is 2103.
3. What are the Factors of 2104?
Answer: Factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104. There are 8 integers that are factors of 2104. The greatest factor of 2104 is 2104.
4. How to Find the GCF of 2103 and 2104?
Answer:
Greatest Common Factor of 2103 and 2104 = 1
Step 1: Find the prime factorization of 2103
2103 = 3 x 701
Step 2: Find the prime factorization of 2104
2104 = 2 x 2 x 2 x 263
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 2103 and 2104 is 1