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 306429, 306436 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 306429 and 306436 is 1.
GCF(306429,306436) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 306429
3 | 306429 |
23 | 102143 |
4441 | 4441 |
1 |
Prime factors of 306429 are 3,23,4441. Prime factorization of 306429 in exponential form is:
306429 = 31×231×44411
Prime Factorization of 306436
2 | 306436 |
2 | 153218 |
13 | 76609 |
71 | 5893 |
83 | 83 |
1 |
Prime factors of 306436 are 2,13,71,83. Prime factorization of 306436 in exponential form is:
306436 = 22×131×711×831
∴ So by taking common prime factors GCF of 306429 and 306436 is 1
Factors of 306429
List of positive integer factors of 306429 that divides 306429 without a remainder.
1,3,23,69,4441,13323,102143,306429
Factors of 306436
List of positive integer factors of 306436 that divides 306436 without a remainder.
1,2,4,13,26,52,71,83,142,166,284,332,923,1079,1846,2158,3692,4316,5893,11786,23572,76609,153218,306436
Greatest Common Factor
We found the factors and prime factorization of 306429 and 306436. The biggest common factor number is the GCF number.
So the greatest common factor 306429 and 306436 is 1.
Also check out the Least Common Multiple of 306429 and 306436
(i) The GCF of 306429 and 306436 is associative
GCF of 306429 and 306436 = GCF of 306436 and 306429
1. What is the GCF of 306429 and 306436?
Answer: GCF of 306429 and 306436 is 1.
2. What are the Factors of 306429?
Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.
3. What are the Factors of 306436?
Answer: Factors of 306436 are 1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436. There are 24 integers that are factors of 306436. The greatest factor of 306436 is 306436.
4. How to Find the GCF of 306429 and 306436?
Answer:
Greatest Common Factor of 306429 and 306436 = 1
Step 1: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 2: Find the prime factorization of 306436
306436 = 2 x 2 x 13 x 71 x 83
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 306429 and 306436 is 1