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 5025, 5028 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5025 and 5028 is 3.
GCF(5025,5028) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5025
3 | 5025 |
5 | 1675 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 5025 are 3,5,67. Prime factorization of 5025 in exponential form is:
5025 = 31×52×671
Prime Factorization of 5028
2 | 5028 |
2 | 2514 |
3 | 1257 |
419 | 419 |
1 |
Prime factors of 5028 are 2,3,419. Prime factorization of 5028 in exponential form is:
5028 = 22×31×4191
∴ So by taking common prime factors GCF of 5025 and 5028 is 3
Factors of 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1,3,5,15,25,67,75,201,335,1005,1675,5025
Factors of 5028
List of positive integer factors of 5028 that divides 5028 without a remainder.
1,2,3,4,6,12,419,838,1257,1676,2514,5028
Greatest Common Factor
We found the factors and prime factorization of 5025 and 5028. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5028 is 3.
Also check out the Least Common Multiple of 5025 and 5028
(i) The GCF of 5025 and 5028 is associative
GCF of 5025 and 5028 = GCF of 5028 and 5025
1. What is the GCF of 5025 and 5028?
Answer: GCF of 5025 and 5028 is 3.
2. What are the Factors of 5025?
Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.
3. What are the Factors of 5028?
Answer: Factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028. There are 12 integers that are factors of 5028. The greatest factor of 5028 is 5028.
4. How to Find the GCF of 5025 and 5028?
Answer:
Greatest Common Factor of 5025 and 5028 = 3
Step 1: Find the prime factorization of 5025
5025 = 3 x 5 x 5 x 67
Step 2: Find the prime factorization of 5028
5028 = 2 x 2 x 3 x 419
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5025 and 5028 is 3