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 6264, 6270 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6264 and 6270 is 6.
GCF(6264,6270) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6264
2 | 6264 |
2 | 3132 |
2 | 1566 |
3 | 783 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 6264 are 2,3,29. Prime factorization of 6264 in exponential form is:
6264 = 23×33×291
Prime Factorization of 6270
2 | 6270 |
3 | 3135 |
5 | 1045 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 6270 are 2,3,5,11,19. Prime factorization of 6270 in exponential form is:
6270 = 21×31×51×111×191
∴ So by taking common prime factors GCF of 6264 and 6270 is 6
Factors of 6264
List of positive integer factors of 6264 that divides 6264 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Factors of 6270
List of positive integer factors of 6270 that divides 6270 without a remainder.
1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270
Greatest Common Factor
We found the factors and prime factorization of 6264 and 6270. The biggest common factor number is the GCF number.
So the greatest common factor 6264 and 6270 is 6.
Also check out the Least Common Multiple of 6264 and 6270
(i) The GCF of 6264 and 6270 is associative
GCF of 6264 and 6270 = GCF of 6270 and 6264
1. What is the GCF of 6264 and 6270?
Answer: GCF of 6264 and 6270 is 6.
2. What are the Factors of 6264?
Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.
3. What are the Factors of 6270?
Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.
4. How to Find the GCF of 6264 and 6270?
Answer:
Greatest Common Factor of 6264 and 6270 = 6
Step 1: Find the prime factorization of 6264
6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29
Step 2: Find the prime factorization of 6270
6270 = 2 x 3 x 5 x 11 x 19
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 6264 and 6270 is 6