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 309416, 309423 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 309416 and 309423 is 1.
GCF(309416,309423) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 309416
2 | 309416 |
2 | 154708 |
2 | 77354 |
38677 | 38677 |
1 |
Prime factors of 309416 are 2,38677. Prime factorization of 309416 in exponential form is:
309416 = 23×386771
Prime Factorization of 309423
3 | 309423 |
103141 | 103141 |
1 |
Prime factors of 309423 are 3,103141. Prime factorization of 309423 in exponential form is:
309423 = 31×1031411
∴ So by taking common prime factors GCF of 309416 and 309423 is 1
Factors of 309416
List of positive integer factors of 309416 that divides 309416 without a remainder.
1,2,4,8,38677,77354,154708,309416
Factors of 309423
List of positive integer factors of 309423 that divides 309423 without a remainder.
1,3,103141,309423
Greatest Common Factor
We found the factors and prime factorization of 309416 and 309423. The biggest common factor number is the GCF number.
So the greatest common factor 309416 and 309423 is 1.
Also check out the Least Common Multiple of 309416 and 309423
(i) The GCF of 309416 and 309423 is associative
GCF of 309416 and 309423 = GCF of 309423 and 309416
1. What is the GCF of 309416 and 309423?
Answer: GCF of 309416 and 309423 is 1.
2. What are the Factors of 309416?
Answer: Factors of 309416 are 1, 2, 4, 8, 38677, 77354, 154708, 309416. There are 8 integers that are factors of 309416. The greatest factor of 309416 is 309416.
3. What are the Factors of 309423?
Answer: Factors of 309423 are 1, 3, 103141, 309423. There are 4 integers that are factors of 309423. The greatest factor of 309423 is 309423.
4. How to Find the GCF of 309416 and 309423?
Answer:
Greatest Common Factor of 309416 and 309423 = 1
Step 1: Find the prime factorization of 309416
309416 = 2 x 2 x 2 x 38677
Step 2: Find the prime factorization of 309423
309423 = 3 x 103141
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 309416 and 309423 is 1