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 8018, 8025 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8018 and 8025 is 1.
GCF(8018,8025) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8018
2 | 8018 |
19 | 4009 |
211 | 211 |
1 |
Prime factors of 8018 are 2,19,211. Prime factorization of 8018 in exponential form is:
8018 = 21×191×2111
Prime Factorization of 8025
3 | 8025 |
5 | 2675 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 8025 are 3,5,107. Prime factorization of 8025 in exponential form is:
8025 = 31×52×1071
∴ So by taking common prime factors GCF of 8018 and 8025 is 1
Factors of 8018
List of positive integer factors of 8018 that divides 8018 without a remainder.
1,2,19,38,211,422,4009,8018
Factors of 8025
List of positive integer factors of 8025 that divides 8025 without a remainder.
1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors and prime factorization of 8018 and 8025. The biggest common factor number is the GCF number.
So the greatest common factor 8018 and 8025 is 1.
Also check out the Least Common Multiple of 8018 and 8025
(i) The GCF of 8018 and 8025 is associative
GCF of 8018 and 8025 = GCF of 8025 and 8018
1. What is the GCF of 8018 and 8025?
Answer: GCF of 8018 and 8025 is 1.
2. What are the Factors of 8018?
Answer: Factors of 8018 are 1, 2, 19, 38, 211, 422, 4009, 8018. There are 8 integers that are factors of 8018. The greatest factor of 8018 is 8018.
3. What are the Factors of 8025?
Answer: Factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025. There are 12 integers that are factors of 8025. The greatest factor of 8025 is 8025.
4. How to Find the GCF of 8018 and 8025?
Answer:
Greatest Common Factor of 8018 and 8025 = 1
Step 1: Find the prime factorization of 8018
8018 = 2 x 19 x 211
Step 2: Find the prime factorization of 8025
8025 = 3 x 5 x 5 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8018 and 8025 is 1