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 75678, 75686 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 75678 and 75686 is 2.
GCF(75678,75686) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 75678
2 | 75678 |
3 | 37839 |
12613 | 12613 |
1 |
Prime factors of 75678 are 2,3,12613. Prime factorization of 75678 in exponential form is:
75678 = 21×31×126131
Prime Factorization of 75686
2 | 75686 |
13 | 37843 |
41 | 2911 |
71 | 71 |
1 |
Prime factors of 75686 are 2,13,41,71. Prime factorization of 75686 in exponential form is:
75686 = 21×131×411×711
∴ So by taking common prime factors GCF of 75678 and 75686 is 2
Factors of 75678
List of positive integer factors of 75678 that divides 75678 without a remainder.
1,2,3,6,12613,25226,37839,75678
Factors of 75686
List of positive integer factors of 75686 that divides 75686 without a remainder.
1,2,13,26,41,71,82,142,533,923,1066,1846,2911,5822,37843,75686
Greatest Common Factor
We found the factors and prime factorization of 75678 and 75686. The biggest common factor number is the GCF number.
So the greatest common factor 75678 and 75686 is 2.
Also check out the Least Common Multiple of 75678 and 75686
(i) The GCF of 75678 and 75686 is associative
GCF of 75678 and 75686 = GCF of 75686 and 75678
1. What is the GCF of 75678 and 75686?
Answer: GCF of 75678 and 75686 is 2.
2. What are the Factors of 75678?
Answer: Factors of 75678 are 1, 2, 3, 6, 12613, 25226, 37839, 75678. There are 8 integers that are factors of 75678. The greatest factor of 75678 is 75678.
3. What are the Factors of 75686?
Answer: Factors of 75686 are 1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843, 75686. There are 16 integers that are factors of 75686. The greatest factor of 75686 is 75686.
4. How to Find the GCF of 75678 and 75686?
Answer:
Greatest Common Factor of 75678 and 75686 = 2
Step 1: Find the prime factorization of 75678
75678 = 2 x 3 x 12613
Step 2: Find the prime factorization of 75686
75686 = 2 x 13 x 41 x 71
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 75678 and 75686 is 2