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 8229, 8237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8229 and 8237 is 1.
GCF(8229,8237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8229
3 | 8229 |
13 | 2743 |
211 | 211 |
1 |
Prime factors of 8229 are 3,13,211. Prime factorization of 8229 in exponential form is:
8229 = 31×131×2111
Prime Factorization of 8237
8237 | 8237 |
1 |
Prime factors of 8237 are 8237. Prime factorization of 8237 in exponential form is:
8237 = 82371
∴ So by taking common prime factors GCF of 8229 and 8237 is 1
Factors of 8229
List of positive integer factors of 8229 that divides 8229 without a remainder.
1,3,13,39,211,633,2743,8229
Factors of 8237
List of positive integer factors of 8237 that divides 8237 without a remainder.
1,8237
Greatest Common Factor
We found the factors and prime factorization of 8229 and 8237. The biggest common factor number is the GCF number.
So the greatest common factor 8229 and 8237 is 1.
Also check out the Least Common Multiple of 8229 and 8237
(i) The GCF of 8229 and 8237 is associative
GCF of 8229 and 8237 = GCF of 8237 and 8229
1. What is the GCF of 8229 and 8237?
Answer: GCF of 8229 and 8237 is 1.
2. What are the Factors of 8229?
Answer: Factors of 8229 are 1, 3, 13, 39, 211, 633, 2743, 8229. There are 8 integers that are factors of 8229. The greatest factor of 8229 is 8229.
3. What are the Factors of 8237?
Answer: Factors of 8237 are 1, 8237. There are 2 integers that are factors of 8237. The greatest factor of 8237 is 8237.
4. How to Find the GCF of 8229 and 8237?
Answer:
Greatest Common Factor of 8229 and 8237 = 1
Step 1: Find the prime factorization of 8229
8229 = 3 x 13 x 211
Step 2: Find the prime factorization of 8237
8237 = 8237
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 8229 and 8237 is 1