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 6162, 6168 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6162 and 6168 is 6.
GCF(6162,6168) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6162
2 | 6162 |
3 | 3081 |
13 | 1027 |
79 | 79 |
1 |
Prime factors of 6162 are 2,3,13,79. Prime factorization of 6162 in exponential form is:
6162 = 21×31×131×791
Prime Factorization of 6168
2 | 6168 |
2 | 3084 |
2 | 1542 |
3 | 771 |
257 | 257 |
1 |
Prime factors of 6168 are 2,3,257. Prime factorization of 6168 in exponential form is:
6168 = 23×31×2571
∴ So by taking common prime factors GCF of 6162 and 6168 is 6
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Factors of 6168
List of positive integer factors of 6168 that divides 6168 without a remainder.
1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors and prime factorization of 6162 and 6168. The biggest common factor number is the GCF number.
So the greatest common factor 6162 and 6168 is 6.
Also check out the Least Common Multiple of 6162 and 6168
(i) The GCF of 6162 and 6168 is associative
GCF of 6162 and 6168 = GCF of 6168 and 6162
1. What is the GCF of 6162 and 6168?
Answer: GCF of 6162 and 6168 is 6.
2. What are the Factors of 6162?
Answer: Factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162. There are 16 integers that are factors of 6162. The greatest factor of 6162 is 6162.
3. What are the Factors of 6168?
Answer: Factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168. There are 16 integers that are factors of 6168. The greatest factor of 6168 is 6168.
4. How to Find the GCF of 6162 and 6168?
Answer:
Greatest Common Factor of 6162 and 6168 = 6
Step 1: Find the prime factorization of 6162
6162 = 2 x 3 x 13 x 79
Step 2: Find the prime factorization of 6168
6168 = 2 x 2 x 2 x 3 x 257
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 6162 and 6168 is 6