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 8642, 8649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8642 and 8649 is 1.
GCF(8642,8649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8642
2 | 8642 |
29 | 4321 |
149 | 149 |
1 |
Prime factors of 8642 are 2,29,149. Prime factorization of 8642 in exponential form is:
8642 = 21×291×1491
Prime Factorization of 8649
3 | 8649 |
3 | 2883 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 8649 are 3,31. Prime factorization of 8649 in exponential form is:
8649 = 32×312
∴ So by taking common prime factors GCF of 8642 and 8649 is 1
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1,2,29,58,149,298,4321,8642
Factors of 8649
List of positive integer factors of 8649 that divides 8649 without a remainder.
1,3,9,31,93,279,961,2883,8649
Greatest Common Factor
We found the factors and prime factorization of 8642 and 8649. The biggest common factor number is the GCF number.
So the greatest common factor 8642 and 8649 is 1.
Also check out the Least Common Multiple of 8642 and 8649
(i) The GCF of 8642 and 8649 is associative
GCF of 8642 and 8649 = GCF of 8649 and 8642
1. What is the GCF of 8642 and 8649?
Answer: GCF of 8642 and 8649 is 1.
2. What are the Factors of 8642?
Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.
3. What are the Factors of 8649?
Answer: Factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649. There are 9 integers that are factors of 8649. The greatest factor of 8649 is 8649.
4. How to Find the GCF of 8642 and 8649?
Answer:
Greatest Common Factor of 8642 and 8649 = 1
Step 1: Find the prime factorization of 8642
8642 = 2 x 29 x 149
Step 2: Find the prime factorization of 8649
8649 = 3 x 3 x 31 x 31
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 8642 and 8649 is 1