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 1235, 1241 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1235 and 1241 is 1.
GCF(1235,1241) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1241
17 | 1241 |
73 | 73 |
1 |
Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:
1241 = 171×731
∴ So by taking common prime factors GCF of 1235 and 1241 is 1
Factors of 1235
List of positive integer factors of 1235 that divides 1235 without a remainder.
1,5,13,19,65,95,247,1235
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Greatest Common Factor
We found the factors and prime factorization of 1235 and 1241. The biggest common factor number is the GCF number.
So the greatest common factor 1235 and 1241 is 1.
Also check out the Least Common Multiple of 1235 and 1241
(i) The GCF of 1235 and 1241 is associative
GCF of 1235 and 1241 = GCF of 1241 and 1235
1. What is the GCF of 1235 and 1241?
Answer: GCF of 1235 and 1241 is 1.
2. 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.
3. What are the Factors of 1241?
Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.
4. How to Find the GCF of 1235 and 1241?
Answer:
Greatest Common Factor of 1235 and 1241 = 1
Step 1: Find the prime factorization of 1235
1235 = 5 x 13 x 19
Step 2: Find the prime factorization of 1241
1241 = 17 x 73
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 1235 and 1241 is 1