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 8437, 8441 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8437 and 8441 is 1.
GCF(8437,8441) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8437
11 | 8437 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 8437 are 11,13,59. Prime factorization of 8437 in exponential form is:
8437 = 111×131×591
Prime Factorization of 8441
23 | 8441 |
367 | 367 |
1 |
Prime factors of 8441 are 23,367. Prime factorization of 8441 in exponential form is:
8441 = 231×3671
∴ So by taking common prime factors GCF of 8437 and 8441 is 1
Factors of 8437
List of positive integer factors of 8437 that divides 8437 without a remainder.
1,11,13,59,143,649,767,8437
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Greatest Common Factor
We found the factors and prime factorization of 8437 and 8441. The biggest common factor number is the GCF number.
So the greatest common factor 8437 and 8441 is 1.
Also check out the Least Common Multiple of 8437 and 8441
(i) The GCF of 8437 and 8441 is associative
GCF of 8437 and 8441 = GCF of 8441 and 8437
1. What is the GCF of 8437 and 8441?
Answer: GCF of 8437 and 8441 is 1.
2. What are the Factors of 8437?
Answer: Factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437. There are 8 integers that are factors of 8437. The greatest factor of 8437 is 8437.
3. What are the Factors of 8441?
Answer: Factors of 8441 are 1, 23, 367, 8441. There are 4 integers that are factors of 8441. The greatest factor of 8441 is 8441.
4. How to Find the GCF of 8437 and 8441?
Answer:
Greatest Common Factor of 8437 and 8441 = 1
Step 1: Find the prime factorization of 8437
8437 = 11 x 13 x 59
Step 2: Find the prime factorization of 8441
8441 = 23 x 367
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 8437 and 8441 is 1