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 9208, 9210 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9208 and 9210 is 2.
GCF(9208,9210) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9208
2 | 9208 |
2 | 4604 |
2 | 2302 |
1151 | 1151 |
1 |
Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:
9208 = 23×11511
Prime Factorization of 9210
2 | 9210 |
3 | 4605 |
5 | 1535 |
307 | 307 |
1 |
Prime factors of 9210 are 2,3,5,307. Prime factorization of 9210 in exponential form is:
9210 = 21×31×51×3071
∴ So by taking common prime factors GCF of 9208 and 9210 is 2
Factors of 9208
List of positive integer factors of 9208 that divides 9208 without a remainder.
1,2,4,8,1151,2302,4604,9208
Factors of 9210
List of positive integer factors of 9210 that divides 9210 without a remainder.
1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors and prime factorization of 9208 and 9210. The biggest common factor number is the GCF number.
So the greatest common factor 9208 and 9210 is 2.
Also check out the Least Common Multiple of 9208 and 9210
(i) The GCF of 9208 and 9210 is associative
GCF of 9208 and 9210 = GCF of 9210 and 9208
1. What is the GCF of 9208 and 9210?
Answer: GCF of 9208 and 9210 is 2.
2. What are the Factors of 9208?
Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.
3. What are the Factors of 9210?
Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.
4. How to Find the GCF of 9208 and 9210?
Answer:
Greatest Common Factor of 9208 and 9210 = 2
Step 1: Find the prime factorization of 9208
9208 = 2 x 2 x 2 x 1151
Step 2: Find the prime factorization of 9210
9210 = 2 x 3 x 5 x 307
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 9208 and 9210 is 2