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 6282, 6288 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6282 and 6288 is 6.
GCF(6282,6288) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6282
2 | 6282 |
3 | 3141 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 6282 are 2,3,349. Prime factorization of 6282 in exponential form is:
6282 = 21×32×3491
Prime Factorization of 6288
2 | 6288 |
2 | 3144 |
2 | 1572 |
2 | 786 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 6288 are 2,3,131. Prime factorization of 6288 in exponential form is:
6288 = 24×31×1311
∴ So by taking common prime factors GCF of 6282 and 6288 is 6
Factors of 6282
List of positive integer factors of 6282 that divides 6282 without a remainder.
1,2,3,6,9,18,349,698,1047,2094,3141,6282
Factors of 6288
List of positive integer factors of 6288 that divides 6288 without a remainder.
1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors and prime factorization of 6282 and 6288. The biggest common factor number is the GCF number.
So the greatest common factor 6282 and 6288 is 6.
Also check out the Least Common Multiple of 6282 and 6288
(i) The GCF of 6282 and 6288 is associative
GCF of 6282 and 6288 = GCF of 6288 and 6282
1. What is the GCF of 6282 and 6288?
Answer: GCF of 6282 and 6288 is 6.
2. What are the Factors of 6282?
Answer: Factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282. There are 12 integers that are factors of 6282. The greatest factor of 6282 is 6282.
3. What are the Factors of 6288?
Answer: Factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288. There are 20 integers that are factors of 6288. The greatest factor of 6288 is 6288.
4. How to Find the GCF of 6282 and 6288?
Answer:
Greatest Common Factor of 6282 and 6288 = 6
Step 1: Find the prime factorization of 6282
6282 = 2 x 3 x 3 x 349
Step 2: Find the prime factorization of 6288
6288 = 2 x 2 x 2 x 2 x 3 x 131
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 6282 and 6288 is 6