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 6060, 6064 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6060 and 6064 is 4.
GCF(6060,6064) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6060
2 | 6060 |
2 | 3030 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 6060 are 2,3,5,101. Prime factorization of 6060 in exponential form is:
6060 = 22×31×51×1011
Prime Factorization of 6064
2 | 6064 |
2 | 3032 |
2 | 1516 |
2 | 758 |
379 | 379 |
1 |
Prime factors of 6064 are 2,379. Prime factorization of 6064 in exponential form is:
6064 = 24×3791
∴ So by taking common prime factors GCF of 6060 and 6064 is 4
Factors of 6060
List of positive integer factors of 6060 that divides 6060 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Factors of 6064
List of positive integer factors of 6064 that divides 6064 without a remainder.
1,2,4,8,16,379,758,1516,3032,6064
Greatest Common Factor
We found the factors and prime factorization of 6060 and 6064. The biggest common factor number is the GCF number.
So the greatest common factor 6060 and 6064 is 4.
Also check out the Least Common Multiple of 6060 and 6064
(i) The GCF of 6060 and 6064 is associative
GCF of 6060 and 6064 = GCF of 6064 and 6060
1. What is the GCF of 6060 and 6064?
Answer: GCF of 6060 and 6064 is 4.
2. What are the Factors of 6060?
Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.
3. What are the Factors of 6064?
Answer: Factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064. There are 10 integers that are factors of 6064. The greatest factor of 6064 is 6064.
4. How to Find the GCF of 6060 and 6064?
Answer:
Greatest Common Factor of 6060 and 6064 = 4
Step 1: Find the prime factorization of 6060
6060 = 2 x 2 x 3 x 5 x 101
Step 2: Find the prime factorization of 6064
6064 = 2 x 2 x 2 x 2 x 379
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 6060 and 6064 is 4