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 39231, 39235 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 39231 and 39235 is 1.
GCF(39231,39235) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 39231
3 | 39231 |
3 | 13077 |
3 | 4359 |
1453 | 1453 |
1 |
Prime factors of 39231 are 3,1453. Prime factorization of 39231 in exponential form is:
39231 = 33×14531
Prime Factorization of 39235
5 | 39235 |
7 | 7847 |
19 | 1121 |
59 | 59 |
1 |
Prime factors of 39235 are 5,7,19,59. Prime factorization of 39235 in exponential form is:
39235 = 51×71×191×591
∴ So by taking common prime factors GCF of 39231 and 39235 is 1
Factors of 39231
List of positive integer factors of 39231 that divides 39231 without a remainder.
1,3,9,27,1453,4359,13077,39231
Factors of 39235
List of positive integer factors of 39235 that divides 39235 without a remainder.
1,5,7,19,35,59,95,133,295,413,665,1121,2065,5605,7847,39235
Greatest Common Factor
We found the factors and prime factorization of 39231 and 39235. The biggest common factor number is the GCF number.
So the greatest common factor 39231 and 39235 is 1.
Also check out the Least Common Multiple of 39231 and 39235
(i) The GCF of 39231 and 39235 is associative
GCF of 39231 and 39235 = GCF of 39235 and 39231
1. What is the GCF of 39231 and 39235?
Answer: GCF of 39231 and 39235 is 1.
2. What are the Factors of 39231?
Answer: Factors of 39231 are 1, 3, 9, 27, 1453, 4359, 13077, 39231. There are 8 integers that are factors of 39231. The greatest factor of 39231 is 39231.
3. What are the Factors of 39235?
Answer: Factors of 39235 are 1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235. There are 16 integers that are factors of 39235. The greatest factor of 39235 is 39235.
4. How to Find the GCF of 39231 and 39235?
Answer:
Greatest Common Factor of 39231 and 39235 = 1
Step 1: Find the prime factorization of 39231
39231 = 3 x 3 x 3 x 1453
Step 2: Find the prime factorization of 39235
39235 = 5 x 7 x 19 x 59
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 39231 and 39235 is 1