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 309402, 309407 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 309402 and 309407 is 1.
GCF(309402,309407) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 309402
2 | 309402 |
3 | 154701 |
3 | 51567 |
17189 | 17189 |
1 |
Prime factors of 309402 are 2,3,17189. Prime factorization of 309402 in exponential form is:
309402 = 21×32×171891
Prime Factorization of 309407
7 | 309407 |
44201 | 44201 |
1 |
Prime factors of 309407 are 7,44201. Prime factorization of 309407 in exponential form is:
309407 = 71×442011
∴ So by taking common prime factors GCF of 309402 and 309407 is 1
Factors of 309402
List of positive integer factors of 309402 that divides 309402 without a remainder.
1,2,3,6,9,18,17189,34378,51567,103134,154701,309402
Factors of 309407
List of positive integer factors of 309407 that divides 309407 without a remainder.
1,7,44201,309407
Greatest Common Factor
We found the factors and prime factorization of 309402 and 309407. The biggest common factor number is the GCF number.
So the greatest common factor 309402 and 309407 is 1.
Also check out the Least Common Multiple of 309402 and 309407
(i) The GCF of 309402 and 309407 is associative
GCF of 309402 and 309407 = GCF of 309407 and 309402
1. What is the GCF of 309402 and 309407?
Answer: GCF of 309402 and 309407 is 1.
2. What are the Factors of 309402?
Answer: Factors of 309402 are 1, 2, 3, 6, 9, 18, 17189, 34378, 51567, 103134, 154701, 309402. There are 12 integers that are factors of 309402. The greatest factor of 309402 is 309402.
3. What are the Factors of 309407?
Answer: Factors of 309407 are 1, 7, 44201, 309407. There are 4 integers that are factors of 309407. The greatest factor of 309407 is 309407.
4. How to Find the GCF of 309402 and 309407?
Answer:
Greatest Common Factor of 309402 and 309407 = 1
Step 1: Find the prime factorization of 309402
309402 = 2 x 3 x 3 x 17189
Step 2: Find the prime factorization of 309407
309407 = 7 x 44201
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 309402 and 309407 is 1