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 15237, 15244 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15237 and 15244 is 1.
GCF(15237,15244) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15237
3 | 15237 |
3 | 5079 |
1693 | 1693 |
1 |
Prime factors of 15237 are 3,1693. Prime factorization of 15237 in exponential form is:
15237 = 32×16931
Prime Factorization of 15244
2 | 15244 |
2 | 7622 |
37 | 3811 |
103 | 103 |
1 |
Prime factors of 15244 are 2,37,103. Prime factorization of 15244 in exponential form is:
15244 = 22×371×1031
∴ So by taking common prime factors GCF of 15237 and 15244 is 1
Factors of 15237
List of positive integer factors of 15237 that divides 15237 without a remainder.
1,3,9,1693,5079,15237
Factors of 15244
List of positive integer factors of 15244 that divides 15244 without a remainder.
1,2,4,37,74,103,148,206,412,3811,7622,15244
Greatest Common Factor
We found the factors and prime factorization of 15237 and 15244. The biggest common factor number is the GCF number.
So the greatest common factor 15237 and 15244 is 1.
Also check out the Least Common Multiple of 15237 and 15244
(i) The GCF of 15237 and 15244 is associative
GCF of 15237 and 15244 = GCF of 15244 and 15237
1. What is the GCF of 15237 and 15244?
Answer: GCF of 15237 and 15244 is 1.
2. What are the Factors of 15237?
Answer: Factors of 15237 are 1, 3, 9, 1693, 5079, 15237. There are 6 integers that are factors of 15237. The greatest factor of 15237 is 15237.
3. What are the Factors of 15244?
Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.
4. How to Find the GCF of 15237 and 15244?
Answer:
Greatest Common Factor of 15237 and 15244 = 1
Step 1: Find the prime factorization of 15237
15237 = 3 x 3 x 1693
Step 2: Find the prime factorization of 15244
15244 = 2 x 2 x 37 x 103
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 15237 and 15244 is 1