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 7162, 7169 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7162 and 7169 is 1.
GCF(7162,7169) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7162
2 | 7162 |
3581 | 3581 |
1 |
Prime factors of 7162 are 2,3581. Prime factorization of 7162 in exponential form is:
7162 = 21×35811
Prime Factorization of 7169
67 | 7169 |
107 | 107 |
1 |
Prime factors of 7169 are 67,107. Prime factorization of 7169 in exponential form is:
7169 = 671×1071
∴ So by taking common prime factors GCF of 7162 and 7169 is 1
Factors of 7162
List of positive integer factors of 7162 that divides 7162 without a remainder.
1,2,3581,7162
Factors of 7169
List of positive integer factors of 7169 that divides 7169 without a remainder.
1,67,107,7169
Greatest Common Factor
We found the factors and prime factorization of 7162 and 7169. The biggest common factor number is the GCF number.
So the greatest common factor 7162 and 7169 is 1.
Also check out the Least Common Multiple of 7162 and 7169
(i) The GCF of 7162 and 7169 is associative
GCF of 7162 and 7169 = GCF of 7169 and 7162
1. What is the GCF of 7162 and 7169?
Answer: GCF of 7162 and 7169 is 1.
2. What are the Factors of 7162?
Answer: Factors of 7162 are 1, 2, 3581, 7162. There are 4 integers that are factors of 7162. The greatest factor of 7162 is 7162.
3. What are the Factors of 7169?
Answer: Factors of 7169 are 1, 67, 107, 7169. There are 4 integers that are factors of 7169. The greatest factor of 7169 is 7169.
4. How to Find the GCF of 7162 and 7169?
Answer:
Greatest Common Factor of 7162 and 7169 = 1
Step 1: Find the prime factorization of 7162
7162 = 2 x 3581
Step 2: Find the prime factorization of 7169
7169 = 67 x 107
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 7162 and 7169 is 1