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 5065, 5070 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5065 and 5070 is 5.
GCF(5065,5070) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5065
5 | 5065 |
1013 | 1013 |
1 |
Prime factors of 5065 are 5,1013. Prime factorization of 5065 in exponential form is:
5065 = 51×10131
Prime Factorization of 5070
2 | 5070 |
3 | 2535 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 5070 are 2,3,5,13. Prime factorization of 5070 in exponential form is:
5070 = 21×31×51×132
∴ So by taking common prime factors GCF of 5065 and 5070 is 5
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1,5,1013,5065
Factors of 5070
List of positive integer factors of 5070 that divides 5070 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors and prime factorization of 5065 and 5070. The biggest common factor number is the GCF number.
So the greatest common factor 5065 and 5070 is 5.
Also check out the Least Common Multiple of 5065 and 5070
(i) The GCF of 5065 and 5070 is associative
GCF of 5065 and 5070 = GCF of 5070 and 5065
1. What is the GCF of 5065 and 5070?
Answer: GCF of 5065 and 5070 is 5.
2. What are the Factors of 5065?
Answer: Factors of 5065 are 1, 5, 1013, 5065. There are 4 integers that are factors of 5065. The greatest factor of 5065 is 5065.
3. What are the Factors of 5070?
Answer: Factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070. There are 24 integers that are factors of 5070. The greatest factor of 5070 is 5070.
4. How to Find the GCF of 5065 and 5070?
Answer:
Greatest Common Factor of 5065 and 5070 = 5
Step 1: Find the prime factorization of 5065
5065 = 5 x 1013
Step 2: Find the prime factorization of 5070
5070 = 2 x 3 x 5 x 13 x 13
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 5065 and 5070 is 5