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 7062, 7067 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7062 and 7067 is 1.
GCF(7062,7067) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7062
2 | 7062 |
3 | 3531 |
11 | 1177 |
107 | 107 |
1 |
Prime factors of 7062 are 2,3,11,107. Prime factorization of 7062 in exponential form is:
7062 = 21×31×111×1071
Prime Factorization of 7067
37 | 7067 |
191 | 191 |
1 |
Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:
7067 = 371×1911
∴ So by taking common prime factors GCF of 7062 and 7067 is 1
Factors of 7062
List of positive integer factors of 7062 that divides 7062 without a remainder.
1,2,3,6,11,22,33,66,107,214,321,642,1177,2354,3531,7062
Factors of 7067
List of positive integer factors of 7067 that divides 7067 without a remainder.
1,37,191,7067
Greatest Common Factor
We found the factors and prime factorization of 7062 and 7067. The biggest common factor number is the GCF number.
So the greatest common factor 7062 and 7067 is 1.
Also check out the Least Common Multiple of 7062 and 7067
(i) The GCF of 7062 and 7067 is associative
GCF of 7062 and 7067 = GCF of 7067 and 7062
1. What is the GCF of 7062 and 7067?
Answer: GCF of 7062 and 7067 is 1.
2. What are the Factors of 7062?
Answer: Factors of 7062 are 1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062. There are 16 integers that are factors of 7062. The greatest factor of 7062 is 7062.
3. What are the Factors of 7067?
Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.
4. How to Find the GCF of 7062 and 7067?
Answer:
Greatest Common Factor of 7062 and 7067 = 1
Step 1: Find the prime factorization of 7062
7062 = 2 x 3 x 11 x 107
Step 2: Find the prime factorization of 7067
7067 = 37 x 191
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 7062 and 7067 is 1