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 1444, 1446 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1444 and 1446 is 2.
GCF(1444,1446) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1444
2 | 1444 |
2 | 722 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:
1444 = 22×192
Prime Factorization of 1446
2 | 1446 |
3 | 723 |
241 | 241 |
1 |
Prime factors of 1446 are 2,3,241. Prime factorization of 1446 in exponential form is:
1446 = 21×31×2411
∴ So by taking common prime factors GCF of 1444 and 1446 is 2
Factors of 1444
List of positive integer factors of 1444 that divides 1444 without a remainder.
1,2,4,19,38,76,361,722,1444
Factors of 1446
List of positive integer factors of 1446 that divides 1446 without a remainder.
1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors and prime factorization of 1444 and 1446. The biggest common factor number is the GCF number.
So the greatest common factor 1444 and 1446 is 2.
Also check out the Least Common Multiple of 1444 and 1446
(i) The GCF of 1444 and 1446 is associative
GCF of 1444 and 1446 = GCF of 1446 and 1444
1. What is the GCF of 1444 and 1446?
Answer: GCF of 1444 and 1446 is 2.
2. What are the Factors of 1444?
Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.
3. What are the Factors of 1446?
Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.
4. How to Find the GCF of 1444 and 1446?
Answer:
Greatest Common Factor of 1444 and 1446 = 2
Step 1: Find the prime factorization of 1444
1444 = 2 x 2 x 19 x 19
Step 2: Find the prime factorization of 1446
1446 = 2 x 3 x 241
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1444 and 1446 is 2