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 67027, 67035 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67027 and 67035 is 1.
GCF(67027,67035) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67027
97 | 67027 |
691 | 691 |
1 |
Prime factors of 67027 are 97,691. Prime factorization of 67027 in exponential form is:
67027 = 971×6911
Prime Factorization of 67035
3 | 67035 |
5 | 22345 |
41 | 4469 |
109 | 109 |
1 |
Prime factors of 67035 are 3,5,41,109. Prime factorization of 67035 in exponential form is:
67035 = 31×51×411×1091
∴ So by taking common prime factors GCF of 67027 and 67035 is 1
Factors of 67027
List of positive integer factors of 67027 that divides 67027 without a remainder.
1,97,691,67027
Factors of 67035
List of positive integer factors of 67035 that divides 67035 without a remainder.
1,3,5,15,41,109,123,205,327,545,615,1635,4469,13407,22345,67035
Greatest Common Factor
We found the factors and prime factorization of 67027 and 67035. The biggest common factor number is the GCF number.
So the greatest common factor 67027 and 67035 is 1.
Also check out the Least Common Multiple of 67027 and 67035
(i) The GCF of 67027 and 67035 is associative
GCF of 67027 and 67035 = GCF of 67035 and 67027
1. What is the GCF of 67027 and 67035?
Answer: GCF of 67027 and 67035 is 1.
2. What are the Factors of 67027?
Answer: Factors of 67027 are 1, 97, 691, 67027. There are 4 integers that are factors of 67027. The greatest factor of 67027 is 67027.
3. What are the Factors of 67035?
Answer: Factors of 67035 are 1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345, 67035. There are 16 integers that are factors of 67035. The greatest factor of 67035 is 67035.
4. How to Find the GCF of 67027 and 67035?
Answer:
Greatest Common Factor of 67027 and 67035 = 1
Step 1: Find the prime factorization of 67027
67027 = 97 x 691
Step 2: Find the prime factorization of 67035
67035 = 3 x 5 x 41 x 109
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 67027 and 67035 is 1