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 1431, 1436 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1431 and 1436 is 1.
GCF(1431,1436) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1431
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 1431 are 3,53. Prime factorization of 1431 in exponential form is:
1431 = 33×531
Prime Factorization of 1436
2 | 1436 |
2 | 718 |
359 | 359 |
1 |
Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:
1436 = 22×3591
∴ So by taking common prime factors GCF of 1431 and 1436 is 1
Factors of 1431
List of positive integer factors of 1431 that divides 1431 without a remainder.
1,3,9,27,53,159,477,1431
Factors of 1436
List of positive integer factors of 1436 that divides 1436 without a remainder.
1,2,4,359,718,1436
Greatest Common Factor
We found the factors and prime factorization of 1431 and 1436. The biggest common factor number is the GCF number.
So the greatest common factor 1431 and 1436 is 1.
Also check out the Least Common Multiple of 1431 and 1436
(i) The GCF of 1431 and 1436 is associative
GCF of 1431 and 1436 = GCF of 1436 and 1431
1. What is the GCF of 1431 and 1436?
Answer: GCF of 1431 and 1436 is 1.
2. What are the Factors of 1431?
Answer: Factors of 1431 are 1, 3, 9, 27, 53, 159, 477, 1431. There are 8 integers that are factors of 1431. The greatest factor of 1431 is 1431.
3. What are the Factors of 1436?
Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.
4. How to Find the GCF of 1431 and 1436?
Answer:
Greatest Common Factor of 1431 and 1436 = 1
Step 1: Find the prime factorization of 1431
1431 = 3 x 3 x 3 x 53
Step 2: Find the prime factorization of 1436
1436 = 2 x 2 x 359
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 1431 and 1436 is 1