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 8617, 8622 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8617 and 8622 is 1.
GCF(8617,8622) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8617
7 | 8617 |
1231 | 1231 |
1 |
Prime factors of 8617 are 7,1231. Prime factorization of 8617 in exponential form is:
8617 = 71×12311
Prime Factorization of 8622
2 | 8622 |
3 | 4311 |
3 | 1437 |
479 | 479 |
1 |
Prime factors of 8622 are 2,3,479. Prime factorization of 8622 in exponential form is:
8622 = 21×32×4791
∴ So by taking common prime factors GCF of 8617 and 8622 is 1
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1,7,1231,8617
Factors of 8622
List of positive integer factors of 8622 that divides 8622 without a remainder.
1,2,3,6,9,18,479,958,1437,2874,4311,8622
Greatest Common Factor
We found the factors and prime factorization of 8617 and 8622. The biggest common factor number is the GCF number.
So the greatest common factor 8617 and 8622 is 1.
Also check out the Least Common Multiple of 8617 and 8622
(i) The GCF of 8617 and 8622 is associative
GCF of 8617 and 8622 = GCF of 8622 and 8617
1. What is the GCF of 8617 and 8622?
Answer: GCF of 8617 and 8622 is 1.
2. What are the Factors of 8617?
Answer: Factors of 8617 are 1, 7, 1231, 8617. There are 4 integers that are factors of 8617. The greatest factor of 8617 is 8617.
3. What are the Factors of 8622?
Answer: Factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622. There are 12 integers that are factors of 8622. The greatest factor of 8622 is 8622.
4. How to Find the GCF of 8617 and 8622?
Answer:
Greatest Common Factor of 8617 and 8622 = 1
Step 1: Find the prime factorization of 8617
8617 = 7 x 1231
Step 2: Find the prime factorization of 8622
8622 = 2 x 3 x 3 x 479
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 8617 and 8622 is 1