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 8611, 8617 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8611 and 8617 is 1.
GCF(8611,8617) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8611
79 | 8611 |
109 | 109 |
1 |
Prime factors of 8611 are 79,109. Prime factorization of 8611 in exponential form is:
8611 = 791×1091
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
∴ So by taking common prime factors GCF of 8611 and 8617 is 1
Factors of 8611
List of positive integer factors of 8611 that divides 8611 without a remainder.
1,79,109,8611
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1,7,1231,8617
Greatest Common Factor
We found the factors and prime factorization of 8611 and 8617. The biggest common factor number is the GCF number.
So the greatest common factor 8611 and 8617 is 1.
Also check out the Least Common Multiple of 8611 and 8617
(i) The GCF of 8611 and 8617 is associative
GCF of 8611 and 8617 = GCF of 8617 and 8611
1. What is the GCF of 8611 and 8617?
Answer: GCF of 8611 and 8617 is 1.
2. What are the Factors of 8611?
Answer: Factors of 8611 are 1, 79, 109, 8611. There are 4 integers that are factors of 8611. The greatest factor of 8611 is 8611.
3. 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.
4. How to Find the GCF of 8611 and 8617?
Answer:
Greatest Common Factor of 8611 and 8617 = 1
Step 1: Find the prime factorization of 8611
8611 = 79 x 109
Step 2: Find the prime factorization of 8617
8617 = 7 x 1231
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 8611 and 8617 is 1