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 9228, 9229 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9228 and 9229 is 1.
GCF(9228,9229) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9228
2 | 9228 |
2 | 4614 |
3 | 2307 |
769 | 769 |
1 |
Prime factors of 9228 are 2,3,769. Prime factorization of 9228 in exponential form is:
9228 = 22×31×7691
Prime Factorization of 9229
11 | 9229 |
839 | 839 |
1 |
Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:
9229 = 111×8391
∴ So by taking common prime factors GCF of 9228 and 9229 is 1
Factors of 9228
List of positive integer factors of 9228 that divides 9228 without a remainder.
1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Factors of 9229
List of positive integer factors of 9229 that divides 9229 without a remainder.
1,11,839,9229
Greatest Common Factor
We found the factors and prime factorization of 9228 and 9229. The biggest common factor number is the GCF number.
So the greatest common factor 9228 and 9229 is 1.
Also check out the Least Common Multiple of 9228 and 9229
(i) The GCF of 9228 and 9229 is associative
GCF of 9228 and 9229 = GCF of 9229 and 9228
1. What is the GCF of 9228 and 9229?
Answer: GCF of 9228 and 9229 is 1.
2. What are the Factors of 9228?
Answer: Factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228. There are 12 integers that are factors of 9228. The greatest factor of 9228 is 9228.
3. What are the Factors of 9229?
Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.
4. How to Find the GCF of 9228 and 9229?
Answer:
Greatest Common Factor of 9228 and 9229 = 1
Step 1: Find the prime factorization of 9228
9228 = 2 x 2 x 3 x 769
Step 2: Find the prime factorization of 9229
9229 = 11 x 839
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 9228 and 9229 is 1