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 8613, 8621 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8613 and 8621 is 1.
GCF(8613,8621) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8613
3 | 8613 |
3 | 2871 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 8613 are 3,11,29. Prime factorization of 8613 in exponential form is:
8613 = 33×111×291
Prime Factorization of 8621
37 | 8621 |
233 | 233 |
1 |
Prime factors of 8621 are 37,233. Prime factorization of 8621 in exponential form is:
8621 = 371×2331
∴ So by taking common prime factors GCF of 8613 and 8621 is 1
Factors of 8613
List of positive integer factors of 8613 that divides 8613 without a remainder.
1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613
Factors of 8621
List of positive integer factors of 8621 that divides 8621 without a remainder.
1,37,233,8621
Greatest Common Factor
We found the factors and prime factorization of 8613 and 8621. The biggest common factor number is the GCF number.
So the greatest common factor 8613 and 8621 is 1.
Also check out the Least Common Multiple of 8613 and 8621
(i) The GCF of 8613 and 8621 is associative
GCF of 8613 and 8621 = GCF of 8621 and 8613
1. What is the GCF of 8613 and 8621?
Answer: GCF of 8613 and 8621 is 1.
2. What are the Factors of 8613?
Answer: Factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613. There are 16 integers that are factors of 8613. The greatest factor of 8613 is 8613.
3. What are the Factors of 8621?
Answer: Factors of 8621 are 1, 37, 233, 8621. There are 4 integers that are factors of 8621. The greatest factor of 8621 is 8621.
4. How to Find the GCF of 8613 and 8621?
Answer:
Greatest Common Factor of 8613 and 8621 = 1
Step 1: Find the prime factorization of 8613
8613 = 3 x 3 x 3 x 11 x 29
Step 2: Find the prime factorization of 8621
8621 = 37 x 233
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 8613 and 8621 is 1