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 1449, 1454 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1449 and 1454 is 1.
GCF(1449,1454) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1449
3 | 1449 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 1449 are 3,7,23. Prime factorization of 1449 in exponential form is:
1449 = 32×71×231
Prime Factorization of 1454
2 | 1454 |
727 | 727 |
1 |
Prime factors of 1454 are 2,727. Prime factorization of 1454 in exponential form is:
1454 = 21×7271
∴ So by taking common prime factors GCF of 1449 and 1454 is 1
Factors of 1449
List of positive integer factors of 1449 that divides 1449 without a remainder.
1,3,7,9,21,23,63,69,161,207,483,1449
Factors of 1454
List of positive integer factors of 1454 that divides 1454 without a remainder.
1,2,727,1454
Greatest Common Factor
We found the factors and prime factorization of 1449 and 1454. The biggest common factor number is the GCF number.
So the greatest common factor 1449 and 1454 is 1.
Also check out the Least Common Multiple of 1449 and 1454
(i) The GCF of 1449 and 1454 is associative
GCF of 1449 and 1454 = GCF of 1454 and 1449
1. What is the GCF of 1449 and 1454?
Answer: GCF of 1449 and 1454 is 1.
2. What are the Factors of 1449?
Answer: Factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449. There are 12 integers that are factors of 1449. The greatest factor of 1449 is 1449.
3. What are the Factors of 1454?
Answer: Factors of 1454 are 1, 2, 727, 1454. There are 4 integers that are factors of 1454. The greatest factor of 1454 is 1454.
4. How to Find the GCF of 1449 and 1454?
Answer:
Greatest Common Factor of 1449 and 1454 = 1
Step 1: Find the prime factorization of 1449
1449 = 3 x 3 x 7 x 23
Step 2: Find the prime factorization of 1454
1454 = 2 x 727
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 1449 and 1454 is 1