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 8164, 8168 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8164 and 8168 is 4.
GCF(8164,8168) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8164
2 | 8164 |
2 | 4082 |
13 | 2041 |
157 | 157 |
1 |
Prime factors of 8164 are 2,13,157. Prime factorization of 8164 in exponential form is:
8164 = 22×131×1571
Prime Factorization of 8168
2 | 8168 |
2 | 4084 |
2 | 2042 |
1021 | 1021 |
1 |
Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:
8168 = 23×10211
∴ So by taking common prime factors GCF of 8164 and 8168 is 4
Factors of 8164
List of positive integer factors of 8164 that divides 8164 without a remainder.
1,2,4,13,26,52,157,314,628,2041,4082,8164
Factors of 8168
List of positive integer factors of 8168 that divides 8168 without a remainder.
1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors and prime factorization of 8164 and 8168. The biggest common factor number is the GCF number.
So the greatest common factor 8164 and 8168 is 4.
Also check out the Least Common Multiple of 8164 and 8168
(i) The GCF of 8164 and 8168 is associative
GCF of 8164 and 8168 = GCF of 8168 and 8164
1. What is the GCF of 8164 and 8168?
Answer: GCF of 8164 and 8168 is 4.
2. What are the Factors of 8164?
Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.
3. What are the Factors of 8168?
Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.
4. How to Find the GCF of 8164 and 8168?
Answer:
Greatest Common Factor of 8164 and 8168 = 4
Step 1: Find the prime factorization of 8164
8164 = 2 x 2 x 13 x 157
Step 2: Find the prime factorization of 8168
8168 = 2 x 2 x 2 x 1021
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8164 and 8168 is 4