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 67017, 67025 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67017 and 67025 is 1.
GCF(67017,67025) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67017
3 | 67017 |
89 | 22339 |
251 | 251 |
1 |
Prime factors of 67017 are 3,89,251. Prime factorization of 67017 in exponential form is:
67017 = 31×891×2511
Prime Factorization of 67025
5 | 67025 |
5 | 13405 |
7 | 2681 |
383 | 383 |
1 |
Prime factors of 67025 are 5,7,383. Prime factorization of 67025 in exponential form is:
67025 = 52×71×3831
∴ So by taking common prime factors GCF of 67017 and 67025 is 1
Factors of 67017
List of positive integer factors of 67017 that divides 67017 without a remainder.
1,3,89,251,267,753,22339,67017
Factors of 67025
List of positive integer factors of 67025 that divides 67025 without a remainder.
1,5,7,25,35,175,383,1915,2681,9575,13405,67025
Greatest Common Factor
We found the factors and prime factorization of 67017 and 67025. The biggest common factor number is the GCF number.
So the greatest common factor 67017 and 67025 is 1.
Also check out the Least Common Multiple of 67017 and 67025
(i) The GCF of 67017 and 67025 is associative
GCF of 67017 and 67025 = GCF of 67025 and 67017
1. What is the GCF of 67017 and 67025?
Answer: GCF of 67017 and 67025 is 1.
2. What are the Factors of 67017?
Answer: Factors of 67017 are 1, 3, 89, 251, 267, 753, 22339, 67017. There are 8 integers that are factors of 67017. The greatest factor of 67017 is 67017.
3. What are the Factors of 67025?
Answer: Factors of 67025 are 1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025. There are 12 integers that are factors of 67025. The greatest factor of 67025 is 67025.
4. How to Find the GCF of 67017 and 67025?
Answer:
Greatest Common Factor of 67017 and 67025 = 1
Step 1: Find the prime factorization of 67017
67017 = 3 x 89 x 251
Step 2: Find the prime factorization of 67025
67025 = 5 x 5 x 7 x 383
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 67017 and 67025 is 1