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 4185, 4188 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4185 and 4188 is 3.
GCF(4185,4188) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4185
3 | 4185 |
3 | 1395 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 4185 are 3,5,31. Prime factorization of 4185 in exponential form is:
4185 = 33×51×311
Prime Factorization of 4188
2 | 4188 |
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 4188 are 2,3,349. Prime factorization of 4188 in exponential form is:
4188 = 22×31×3491
∴ So by taking common prime factors GCF of 4185 and 4188 is 3
Factors of 4185
List of positive integer factors of 4185 that divides 4185 without a remainder.
1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185
Factors of 4188
List of positive integer factors of 4188 that divides 4188 without a remainder.
1,2,3,4,6,12,349,698,1047,1396,2094,4188
Greatest Common Factor
We found the factors and prime factorization of 4185 and 4188. The biggest common factor number is the GCF number.
So the greatest common factor 4185 and 4188 is 3.
Also check out the Least Common Multiple of 4185 and 4188
(i) The GCF of 4185 and 4188 is associative
GCF of 4185 and 4188 = GCF of 4188 and 4185
1. What is the GCF of 4185 and 4188?
Answer: GCF of 4185 and 4188 is 3.
2. What are the Factors of 4185?
Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.
3. What are the Factors of 4188?
Answer: Factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. There are 12 integers that are factors of 4188. The greatest factor of 4188 is 4188.
4. How to Find the GCF of 4185 and 4188?
Answer:
Greatest Common Factor of 4185 and 4188 = 3
Step 1: Find the prime factorization of 4185
4185 = 3 x 3 x 3 x 5 x 31
Step 2: Find the prime factorization of 4188
4188 = 2 x 2 x 3 x 349
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4185 and 4188 is 3