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 4179, 4185 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4179 and 4185 is 3.
GCF(4179,4185) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4179
3 | 4179 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 4179 are 3,7,199. Prime factorization of 4179 in exponential form is:
4179 = 31×71×1991
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
∴ So by taking common prime factors GCF of 4179 and 4185 is 3
Factors of 4179
List of positive integer factors of 4179 that divides 4179 without a remainder.
1,3,7,21,199,597,1393,4179
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
Greatest Common Factor
We found the factors and prime factorization of 4179 and 4185. The biggest common factor number is the GCF number.
So the greatest common factor 4179 and 4185 is 3.
Also check out the Least Common Multiple of 4179 and 4185
(i) The GCF of 4179 and 4185 is associative
GCF of 4179 and 4185 = GCF of 4185 and 4179
1. What is the GCF of 4179 and 4185?
Answer: GCF of 4179 and 4185 is 3.
2. What are the Factors of 4179?
Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.
3. 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.
4. How to Find the GCF of 4179 and 4185?
Answer:
Greatest Common Factor of 4179 and 4185 = 3
Step 1: Find the prime factorization of 4179
4179 = 3 x 7 x 199
Step 2: Find the prime factorization of 4185
4185 = 3 x 3 x 3 x 5 x 31
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 4179 and 4185 is 3