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 6020, 6025 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6020 and 6025 is 5.
GCF(6020,6025) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6020
2 | 6020 |
2 | 3010 |
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 6020 are 2,5,7,43. Prime factorization of 6020 in exponential form is:
6020 = 22×51×71×431
Prime Factorization of 6025
5 | 6025 |
5 | 1205 |
241 | 241 |
1 |
Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:
6025 = 52×2411
∴ So by taking common prime factors GCF of 6020 and 6025 is 5
Factors of 6020
List of positive integer factors of 6020 that divides 6020 without a remainder.
1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Factors of 6025
List of positive integer factors of 6025 that divides 6025 without a remainder.
1,5,25,241,1205,6025
Greatest Common Factor
We found the factors and prime factorization of 6020 and 6025. The biggest common factor number is the GCF number.
So the greatest common factor 6020 and 6025 is 5.
Also check out the Least Common Multiple of 6020 and 6025
(i) The GCF of 6020 and 6025 is associative
GCF of 6020 and 6025 = GCF of 6025 and 6020
1. What is the GCF of 6020 and 6025?
Answer: GCF of 6020 and 6025 is 5.
2. What are the Factors of 6020?
Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.
3. What are the Factors of 6025?
Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.
4. How to Find the GCF of 6020 and 6025?
Answer:
Greatest Common Factor of 6020 and 6025 = 5
Step 1: Find the prime factorization of 6020
6020 = 2 x 2 x 5 x 7 x 43
Step 2: Find the prime factorization of 6025
6025 = 5 x 5 x 241
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 6020 and 6025 is 5