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 8900, 8903 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8900 and 8903 is 1.
GCF(8900,8903) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8900
2 | 8900 |
2 | 4450 |
5 | 2225 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 8900 are 2,5,89. Prime factorization of 8900 in exponential form is:
8900 = 22×52×891
Prime Factorization of 8903
29 | 8903 |
307 | 307 |
1 |
Prime factors of 8903 are 29,307. Prime factorization of 8903 in exponential form is:
8903 = 291×3071
∴ So by taking common prime factors GCF of 8900 and 8903 is 1
Factors of 8900
List of positive integer factors of 8900 that divides 8900 without a remainder.
1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Factors of 8903
List of positive integer factors of 8903 that divides 8903 without a remainder.
1,29,307,8903
Greatest Common Factor
We found the factors and prime factorization of 8900 and 8903. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8903 is 1.
Also check out the Least Common Multiple of 8900 and 8903
(i) The GCF of 8900 and 8903 is associative
GCF of 8900 and 8903 = GCF of 8903 and 8900
1. What is the GCF of 8900 and 8903?
Answer: GCF of 8900 and 8903 is 1.
2. What are the Factors of 8900?
Answer: Factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900. There are 18 integers that are factors of 8900. The greatest factor of 8900 is 8900.
3. What are the Factors of 8903?
Answer: Factors of 8903 are 1, 29, 307, 8903. There are 4 integers that are factors of 8903. The greatest factor of 8903 is 8903.
4. How to Find the GCF of 8900 and 8903?
Answer:
Greatest Common Factor of 8900 and 8903 = 1
Step 1: Find the prime factorization of 8900
8900 = 2 x 2 x 5 x 5 x 89
Step 2: Find the prime factorization of 8903
8903 = 29 x 307
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 8900 and 8903 is 1