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 9098, 9104 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9098 and 9104 is 2.
GCF(9098,9104) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9098
2 | 9098 |
4549 | 4549 |
1 |
Prime factors of 9098 are 2,4549. Prime factorization of 9098 in exponential form is:
9098 = 21×45491
Prime Factorization of 9104
2 | 9104 |
2 | 4552 |
2 | 2276 |
2 | 1138 |
569 | 569 |
1 |
Prime factors of 9104 are 2,569. Prime factorization of 9104 in exponential form is:
9104 = 24×5691
∴ So by taking common prime factors GCF of 9098 and 9104 is 2
Factors of 9098
List of positive integer factors of 9098 that divides 9098 without a remainder.
1,2,4549,9098
Factors of 9104
List of positive integer factors of 9104 that divides 9104 without a remainder.
1,2,4,8,16,569,1138,2276,4552,9104
Greatest Common Factor
We found the factors and prime factorization of 9098 and 9104. The biggest common factor number is the GCF number.
So the greatest common factor 9098 and 9104 is 2.
Also check out the Least Common Multiple of 9098 and 9104
(i) The GCF of 9098 and 9104 is associative
GCF of 9098 and 9104 = GCF of 9104 and 9098
1. What is the GCF of 9098 and 9104?
Answer: GCF of 9098 and 9104 is 2.
2. What are the Factors of 9098?
Answer: Factors of 9098 are 1, 2, 4549, 9098. There are 4 integers that are factors of 9098. The greatest factor of 9098 is 9098.
3. What are the Factors of 9104?
Answer: Factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104. There are 10 integers that are factors of 9104. The greatest factor of 9104 is 9104.
4. How to Find the GCF of 9098 and 9104?
Answer:
Greatest Common Factor of 9098 and 9104 = 2
Step 1: Find the prime factorization of 9098
9098 = 2 x 4549
Step 2: Find the prime factorization of 9104
9104 = 2 x 2 x 2 x 2 x 569
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 9098 and 9104 is 2