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 67022, 67027 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67022 and 67027 is 1.
GCF(67022,67027) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67022
2 | 67022 |
23 | 33511 |
31 | 1457 |
47 | 47 |
1 |
Prime factors of 67022 are 2,23,31,47. Prime factorization of 67022 in exponential form is:
67022 = 21×231×311×471
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
∴ So by taking common prime factors GCF of 67022 and 67027 is 1
Factors of 67022
List of positive integer factors of 67022 that divides 67022 without a remainder.
1,2,23,31,46,47,62,94,713,1081,1426,1457,2162,2914,33511,67022
Factors of 67027
List of positive integer factors of 67027 that divides 67027 without a remainder.
1,97,691,67027
Greatest Common Factor
We found the factors and prime factorization of 67022 and 67027. The biggest common factor number is the GCF number.
So the greatest common factor 67022 and 67027 is 1.
Also check out the Least Common Multiple of 67022 and 67027
(i) The GCF of 67022 and 67027 is associative
GCF of 67022 and 67027 = GCF of 67027 and 67022
1. What is the GCF of 67022 and 67027?
Answer: GCF of 67022 and 67027 is 1.
2. What are the Factors of 67022?
Answer: Factors of 67022 are 1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022. There are 16 integers that are factors of 67022. The greatest factor of 67022 is 67022.
3. 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.
4. How to Find the GCF of 67022 and 67027?
Answer:
Greatest Common Factor of 67022 and 67027 = 1
Step 1: Find the prime factorization of 67022
67022 = 2 x 23 x 31 x 47
Step 2: Find the prime factorization of 67027
67027 = 97 x 691
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 67022 and 67027 is 1