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 898, 900 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 898 and 900 is 2.
GCF(898,900) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 898
2 | 898 |
449 | 449 |
1 |
Prime factors of 898 are 2,449. Prime factorization of 898 in exponential form is:
898 = 21×4491
Prime Factorization of 900
2 | 900 |
2 | 450 |
3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 900 are 2,3,5. Prime factorization of 900 in exponential form is:
900 = 22×32×52
∴ So by taking common prime factors GCF of 898 and 900 is 2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors and prime factorization of 898 and 900. The biggest common factor number is the GCF number.
So the greatest common factor 898 and 900 is 2.
Also check out the Least Common Multiple of 898 and 900
(i) The GCF of 898 and 900 is associative
GCF of 898 and 900 = GCF of 900 and 898
1. What is the GCF of 898 and 900?
Answer: GCF of 898 and 900 is 2.
2. What are the Factors of 898?
Answer: Factors of 898 are 1, 2, 449, 898. There are 4 integers that are factors of 898. The greatest factor of 898 is 898.
3. What are the Factors of 900?
Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.
4. How to Find the GCF of 898 and 900?
Answer:
Greatest Common Factor of 898 and 900 = 2
Step 1: Find the prime factorization of 898
898 = 2 x 449
Step 2: Find the prime factorization of 900
900 = 2 x 2 x 3 x 3 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 898 and 900 is 2