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 6279, 6280 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6279 and 6280 is 1.
GCF(6279,6280) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6279
3 | 6279 |
7 | 2093 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 6279 are 3,7,13,23. Prime factorization of 6279 in exponential form is:
6279 = 31×71×131×231
Prime Factorization of 6280
2 | 6280 |
2 | 3140 |
2 | 1570 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 6280 are 2,5,157. Prime factorization of 6280 in exponential form is:
6280 = 23×51×1571
∴ So by taking common prime factors GCF of 6279 and 6280 is 1
Factors of 6279
List of positive integer factors of 6279 that divides 6279 without a remainder.
1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279
Factors of 6280
List of positive integer factors of 6280 that divides 6280 without a remainder.
1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Greatest Common Factor
We found the factors and prime factorization of 6279 and 6280. The biggest common factor number is the GCF number.
So the greatest common factor 6279 and 6280 is 1.
Also check out the Least Common Multiple of 6279 and 6280
(i) The GCF of 6279 and 6280 is associative
GCF of 6279 and 6280 = GCF of 6280 and 6279
1. What is the GCF of 6279 and 6280?
Answer: GCF of 6279 and 6280 is 1.
2. What are the Factors of 6279?
Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.
3. What are the Factors of 6280?
Answer: Factors of 6280 are 1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140, 6280. There are 16 integers that are factors of 6280. The greatest factor of 6280 is 6280.
4. How to Find the GCF of 6279 and 6280?
Answer:
Greatest Common Factor of 6279 and 6280 = 1
Step 1: Find the prime factorization of 6279
6279 = 3 x 7 x 13 x 23
Step 2: Find the prime factorization of 6280
6280 = 2 x 2 x 2 x 5 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6279 and 6280 is 1