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 1436, 1440 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1436 and 1440 is 4.
GCF(1436,1440) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1440
2 | 1440 |
2 | 720 |
2 | 360 |
2 | 180 |
2 | 90 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 1440 are 2,3,5. Prime factorization of 1440 in exponential form is:
1440 = 25×32×51
∴ So by taking common prime factors GCF of 1436 and 1440 is 4
Factors of 1436
List of positive integer factors of 1436 that divides 1436 without a remainder.
1,2,4,359,718,1436
Factors of 1440
List of positive integer factors of 1440 that divides 1440 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors and prime factorization of 1436 and 1440. The biggest common factor number is the GCF number.
So the greatest common factor 1436 and 1440 is 4.
Also check out the Least Common Multiple of 1436 and 1440
(i) The GCF of 1436 and 1440 is associative
GCF of 1436 and 1440 = GCF of 1440 and 1436
1. What is the GCF of 1436 and 1440?
Answer: GCF of 1436 and 1440 is 4.
2. 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.
3. What are the Factors of 1440?
Answer: Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. There are 36 integers that are factors of 1440. The greatest factor of 1440 is 1440.
4. How to Find the GCF of 1436 and 1440?
Answer:
Greatest Common Factor of 1436 and 1440 = 4
Step 1: Find the prime factorization of 1436
1436 = 2 x 2 x 359
Step 2: Find the prime factorization of 1440
1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1436 and 1440 is 4