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 6270, 6274 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6270 and 6274 is 2.
GCF(6270,6274) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6274
2 | 6274 |
3137 | 3137 |
1 |
Prime factors of 6274 are 2,3137. Prime factorization of 6274 in exponential form is:
6274 = 21×31371
∴ So by taking common prime factors GCF of 6270 and 6274 is 2
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
Factors of 6274
List of positive integer factors of 6274 that divides 6274 without a remainder.
1,2,3137,6274
Greatest Common Factor
We found the factors and prime factorization of 6270 and 6274. The biggest common factor number is the GCF number.
So the greatest common factor 6270 and 6274 is 2.
Also check out the Least Common Multiple of 6270 and 6274
(i) The GCF of 6270 and 6274 is associative
GCF of 6270 and 6274 = GCF of 6274 and 6270
1. What is the GCF of 6270 and 6274?
Answer: GCF of 6270 and 6274 is 2.
2. 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.
3. What are the Factors of 6274?
Answer: Factors of 6274 are 1, 2, 3137, 6274. There are 4 integers that are factors of 6274. The greatest factor of 6274 is 6274.
4. How to Find the GCF of 6270 and 6274?
Answer:
Greatest Common Factor of 6270 and 6274 = 2
Step 1: Find the prime factorization of 6270
6270 = 2 x 3 x 5 x 11 x 19
Step 2: Find the prime factorization of 6274
6274 = 2 x 3137
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 6270 and 6274 is 2