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, 1237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1235 and 1237 is 1.
GCF(1235,1237) = 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 1237
1237 | 1237 |
1 |
Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:
1237 = 12371
∴ So by taking common prime factors GCF of 1235 and 1237 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 1237
List of positive integer factors of 1237 that divides 1237 without a remainder.
1,1237
Greatest Common Factor
We found the factors and prime factorization of 1235 and 1237. The biggest common factor number is the GCF number.
So the greatest common factor 1235 and 1237 is 1.
Also check out the Least Common Multiple of 1235 and 1237
(i) The GCF of 1235 and 1237 is associative
GCF of 1235 and 1237 = GCF of 1237 and 1235
1. What is the GCF of 1235 and 1237?
Answer: GCF of 1235 and 1237 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 1237?
Answer: Factors of 1237 are 1, 1237. There are 2 integers that are factors of 1237. The greatest factor of 1237 is 1237.
4. How to Find the GCF of 1235 and 1237?
Answer:
Greatest Common Factor of 1235 and 1237 = 1
Step 1: Find the prime factorization of 1235
1235 = 5 x 13 x 19
Step 2: Find the prime factorization of 1237
1237 = 1237
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 1237 is 1