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 39177, 39182 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 39177 and 39182 is 1.
GCF(39177,39182) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 39177
3 | 39177 |
3 | 13059 |
3 | 4353 |
1451 | 1451 |
1 |
Prime factors of 39177 are 3,1451. Prime factorization of 39177 in exponential form is:
39177 = 33×14511
Prime Factorization of 39182
2 | 39182 |
11 | 19591 |
13 | 1781 |
137 | 137 |
1 |
Prime factors of 39182 are 2,11,13,137. Prime factorization of 39182 in exponential form is:
39182 = 21×111×131×1371
∴ So by taking common prime factors GCF of 39177 and 39182 is 1
Factors of 39177
List of positive integer factors of 39177 that divides 39177 without a remainder.
1,3,9,27,1451,4353,13059,39177
Factors of 39182
List of positive integer factors of 39182 that divides 39182 without a remainder.
1,2,11,13,22,26,137,143,274,286,1507,1781,3014,3562,19591,39182
Greatest Common Factor
We found the factors and prime factorization of 39177 and 39182. The biggest common factor number is the GCF number.
So the greatest common factor 39177 and 39182 is 1.
Also check out the Least Common Multiple of 39177 and 39182
(i) The GCF of 39177 and 39182 is associative
GCF of 39177 and 39182 = GCF of 39182 and 39177
1. What is the GCF of 39177 and 39182?
Answer: GCF of 39177 and 39182 is 1.
2. What are the Factors of 39177?
Answer: Factors of 39177 are 1, 3, 9, 27, 1451, 4353, 13059, 39177. There are 8 integers that are factors of 39177. The greatest factor of 39177 is 39177.
3. What are the Factors of 39182?
Answer: Factors of 39182 are 1, 2, 11, 13, 22, 26, 137, 143, 274, 286, 1507, 1781, 3014, 3562, 19591, 39182. There are 16 integers that are factors of 39182. The greatest factor of 39182 is 39182.
4. How to Find the GCF of 39177 and 39182?
Answer:
Greatest Common Factor of 39177 and 39182 = 1
Step 1: Find the prime factorization of 39177
39177 = 3 x 3 x 3 x 1451
Step 2: Find the prime factorization of 39182
39182 = 2 x 11 x 13 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 39177 and 39182 is 1