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 67025, 67031 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67025 and 67031 is 1.
GCF(67025,67031) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 67031
17 | 67031 |
3943 | 3943 |
1 |
Prime factors of 67031 are 17,3943. Prime factorization of 67031 in exponential form is:
67031 = 171×39431
∴ So by taking common prime factors GCF of 67025 and 67031 is 1
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
Factors of 67031
List of positive integer factors of 67031 that divides 67031 without a remainder.
1,17,3943,67031
Greatest Common Factor
We found the factors and prime factorization of 67025 and 67031. The biggest common factor number is the GCF number.
So the greatest common factor 67025 and 67031 is 1.
Also check out the Least Common Multiple of 67025 and 67031
(i) The GCF of 67025 and 67031 is associative
GCF of 67025 and 67031 = GCF of 67031 and 67025
1. What is the GCF of 67025 and 67031?
Answer: GCF of 67025 and 67031 is 1.
2. 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.
3. What are the Factors of 67031?
Answer: Factors of 67031 are 1, 17, 3943, 67031. There are 4 integers that are factors of 67031. The greatest factor of 67031 is 67031.
4. How to Find the GCF of 67025 and 67031?
Answer:
Greatest Common Factor of 67025 and 67031 = 1
Step 1: Find the prime factorization of 67025
67025 = 5 x 5 x 7 x 383
Step 2: Find the prime factorization of 67031
67031 = 17 x 3943
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 67025 and 67031 is 1