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 4162, 4168 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4162 and 4168 is 2.
GCF(4162,4168) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4162
2 | 4162 |
2081 | 2081 |
1 |
Prime factors of 4162 are 2,2081. Prime factorization of 4162 in exponential form is:
4162 = 21×20811
Prime Factorization of 4168
2 | 4168 |
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:
4168 = 23×5211
∴ So by taking common prime factors GCF of 4162 and 4168 is 2
Factors of 4162
List of positive integer factors of 4162 that divides 4162 without a remainder.
1,2,2081,4162
Factors of 4168
List of positive integer factors of 4168 that divides 4168 without a remainder.
1,2,4,8,521,1042,2084,4168
Greatest Common Factor
We found the factors and prime factorization of 4162 and 4168. The biggest common factor number is the GCF number.
So the greatest common factor 4162 and 4168 is 2.
Also check out the Least Common Multiple of 4162 and 4168
(i) The GCF of 4162 and 4168 is associative
GCF of 4162 and 4168 = GCF of 4168 and 4162
1. What is the GCF of 4162 and 4168?
Answer: GCF of 4162 and 4168 is 2.
2. What are the Factors of 4162?
Answer: Factors of 4162 are 1, 2, 2081, 4162. There are 4 integers that are factors of 4162. The greatest factor of 4162 is 4162.
3. What are the Factors of 4168?
Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.
4. How to Find the GCF of 4162 and 4168?
Answer:
Greatest Common Factor of 4162 and 4168 = 2
Step 1: Find the prime factorization of 4162
4162 = 2 x 2081
Step 2: Find the prime factorization of 4168
4168 = 2 x 2 x 2 x 521
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4162 and 4168 is 2