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 8662, 8667 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8662 and 8667 is 1.
GCF(8662,8667) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8662
2 | 8662 |
61 | 4331 |
71 | 71 |
1 |
Prime factors of 8662 are 2,61,71. Prime factorization of 8662 in exponential form is:
8662 = 21×611×711
Prime Factorization of 8667
3 | 8667 |
3 | 2889 |
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 8667 are 3,107. Prime factorization of 8667 in exponential form is:
8667 = 34×1071
∴ So by taking common prime factors GCF of 8662 and 8667 is 1
Factors of 8662
List of positive integer factors of 8662 that divides 8662 without a remainder.
1,2,61,71,122,142,4331,8662
Factors of 8667
List of positive integer factors of 8667 that divides 8667 without a remainder.
1,3,9,27,81,107,321,963,2889,8667
Greatest Common Factor
We found the factors and prime factorization of 8662 and 8667. The biggest common factor number is the GCF number.
So the greatest common factor 8662 and 8667 is 1.
Also check out the Least Common Multiple of 8662 and 8667
(i) The GCF of 8662 and 8667 is associative
GCF of 8662 and 8667 = GCF of 8667 and 8662
1. What is the GCF of 8662 and 8667?
Answer: GCF of 8662 and 8667 is 1.
2. What are the Factors of 8662?
Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.
3. What are the Factors of 8667?
Answer: Factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667. There are 10 integers that are factors of 8667. The greatest factor of 8667 is 8667.
4. How to Find the GCF of 8662 and 8667?
Answer:
Greatest Common Factor of 8662 and 8667 = 1
Step 1: Find the prime factorization of 8662
8662 = 2 x 61 x 71
Step 2: Find the prime factorization of 8667
8667 = 3 x 3 x 3 x 3 x 107
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 8662 and 8667 is 1