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 5055, 5060 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5055 and 5060 is 5.
GCF(5055,5060) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5055
3 | 5055 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 5055 are 3,5,337. Prime factorization of 5055 in exponential form is:
5055 = 31×51×3371
Prime Factorization of 5060
2 | 5060 |
2 | 2530 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 5060 are 2,5,11,23. Prime factorization of 5060 in exponential form is:
5060 = 22×51×111×231
∴ So by taking common prime factors GCF of 5055 and 5060 is 5
Factors of 5055
List of positive integer factors of 5055 that divides 5055 without a remainder.
1,3,5,15,337,1011,1685,5055
Factors of 5060
List of positive integer factors of 5060 that divides 5060 without a remainder.
1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Greatest Common Factor
We found the factors and prime factorization of 5055 and 5060. The biggest common factor number is the GCF number.
So the greatest common factor 5055 and 5060 is 5.
Also check out the Least Common Multiple of 5055 and 5060
(i) The GCF of 5055 and 5060 is associative
GCF of 5055 and 5060 = GCF of 5060 and 5055
1. What is the GCF of 5055 and 5060?
Answer: GCF of 5055 and 5060 is 5.
2. What are the Factors of 5055?
Answer: Factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055. There are 8 integers that are factors of 5055. The greatest factor of 5055 is 5055.
3. What are the Factors of 5060?
Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.
4. How to Find the GCF of 5055 and 5060?
Answer:
Greatest Common Factor of 5055 and 5060 = 5
Step 1: Find the prime factorization of 5055
5055 = 3 x 5 x 337
Step 2: Find the prime factorization of 5060
5060 = 2 x 2 x 5 x 11 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5055 and 5060 is 5