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 1229, 1235 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1229 and 1235 is 1.
GCF(1229,1235) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1229
1229 | 1229 |
1 |
Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:
1229 = 12291
Prime Factorization of 1235
5 | 1235 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 1235 are 5.Prime factorization of 1235 in exponential form is:
1235 = 51×131×191
∴ So by taking common prime factors GCF of 1229 and 1235 is 1
Factors of 1229
List of positive integer factors of 1229 that divides 1229 without a remainder.
1,1229
Factors of 1235
List of positive integer factors of 1235 that divides 1235 without a remainder.
1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors and prime factorization of 1229 and 1235. The biggest common factor number is the GCF number.
So the greatest common factor 1229 and 1235 is 1.
Also check out the Least Common Multiple of 1229 and 1235
(i) The GCF of 1229 and 1235 is associative
GCF of 1229 and 1235 = GCF of 1235 and 1229
1. What is the GCF of 1229 and 1235?
Answer: GCF of 1229 and 1235 is 1.
2. What are the Factors of 1229?
Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.
3. What are the Factors of 1235?
Answer: Factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235. There are 8 integers that are factors of 1235. The greatest factor of 1235 is 1235.
4. How to Find the GCF of 1229 and 1235?
Answer:
Greatest Common Factor of 1229 and 1235 = 1
Step 1: Find the prime factorization of 1229
1229 = 1229
Step 2: Find the prime factorization of 1235
1235 = 5 x 13 x 19
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 1229 and 1235 is 1