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 1233, 1235 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1233 and 1235 is 1.
GCF(1233,1235) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1233
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:
1233 = 32×1371
Prime Factorization of 1235
5 | 1235 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 1235 are 5,13,19. Prime factorization of 1235 in exponential form is:
1235 = 51×131×191
∴ So by taking common prime factors GCF of 1233 and 1235 is 1
Factors of 1233
List of positive integer factors of 1233 that divides 1233 without a remainder.
1,3,9,137,411,1233
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 1233 and 1235. The biggest common factor number is the GCF number.
So the greatest common factor 1233 and 1235 is 1.
Also check out the Least Common Multiple of 1233 and 1235
(i) The GCF of 1233 and 1235 is associative
GCF of 1233 and 1235 = GCF of 1235 and 1233
1. What is the GCF of 1233 and 1235?
Answer: GCF of 1233 and 1235 is 1.
2. What are the Factors of 1233?
Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.
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 1233 and 1235?
Answer:
Greatest Common Factor of 1233 and 1235 = 1
Step 1: Find the prime factorization of 1233
1233 = 3 x 3 x 137
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 1233 and 1235 is 1