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 8184, 8188 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8184 and 8188 is 4.
GCF(8184,8188) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8184
2 | 8184 |
2 | 4092 |
2 | 2046 |
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 8184 are 2,3,11,31. Prime factorization of 8184 in exponential form is:
8184 = 23×31×111×311
Prime Factorization of 8188
2 | 8188 |
2 | 4094 |
23 | 2047 |
89 | 89 |
1 |
Prime factors of 8188 are 2,23,89. Prime factorization of 8188 in exponential form is:
8188 = 22×231×891
∴ So by taking common prime factors GCF of 8184 and 8188 is 4
Factors of 8184
List of positive integer factors of 8184 that divides 8184 without a remainder.
1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Factors of 8188
List of positive integer factors of 8188 that divides 8188 without a remainder.
1,2,4,23,46,89,92,178,356,2047,4094,8188
Greatest Common Factor
We found the factors and prime factorization of 8184 and 8188. The biggest common factor number is the GCF number.
So the greatest common factor 8184 and 8188 is 4.
Also check out the Least Common Multiple of 8184 and 8188
(i) The GCF of 8184 and 8188 is associative
GCF of 8184 and 8188 = GCF of 8188 and 8184
1. What is the GCF of 8184 and 8188?
Answer: GCF of 8184 and 8188 is 4.
2. What are the Factors of 8184?
Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.
3. What are the Factors of 8188?
Answer: Factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188. There are 12 integers that are factors of 8188. The greatest factor of 8188 is 8188.
4. How to Find the GCF of 8184 and 8188?
Answer:
Greatest Common Factor of 8184 and 8188 = 4
Step 1: Find the prime factorization of 8184
8184 = 2 x 2 x 2 x 3 x 11 x 31
Step 2: Find the prime factorization of 8188
8188 = 2 x 2 x 23 x 89
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 8184 and 8188 is 4