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 8656, 8658 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8656 and 8658 is 2.
GCF(8656,8658) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8656
2 | 8656 |
2 | 4328 |
2 | 2164 |
2 | 1082 |
541 | 541 |
1 |
Prime factors of 8656 are 2,541. Prime factorization of 8656 in exponential form is:
8656 = 24×5411
Prime Factorization of 8658
2 | 8658 |
3 | 4329 |
3 | 1443 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 8658 are 2,3,13,37. Prime factorization of 8658 in exponential form is:
8658 = 21×32×131×371
∴ So by taking common prime factors GCF of 8656 and 8658 is 2
Factors of 8656
List of positive integer factors of 8656 that divides 8656 without a remainder.
1,2,4,8,16,541,1082,2164,4328,8656
Factors of 8658
List of positive integer factors of 8658 that divides 8658 without a remainder.
1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors and prime factorization of 8656 and 8658. The biggest common factor number is the GCF number.
So the greatest common factor 8656 and 8658 is 2.
Also check out the Least Common Multiple of 8656 and 8658
(i) The GCF of 8656 and 8658 is associative
GCF of 8656 and 8658 = GCF of 8658 and 8656
1. What is the GCF of 8656 and 8658?
Answer: GCF of 8656 and 8658 is 2.
2. What are the Factors of 8656?
Answer: Factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656. There are 10 integers that are factors of 8656. The greatest factor of 8656 is 8656.
3. What are the Factors of 8658?
Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.
4. How to Find the GCF of 8656 and 8658?
Answer:
Greatest Common Factor of 8656 and 8658 = 2
Step 1: Find the prime factorization of 8656
8656 = 2 x 2 x 2 x 2 x 541
Step 2: Find the prime factorization of 8658
8658 = 2 x 3 x 3 x 13 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8656 and 8658 is 2