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 1446, 1451 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1446 and 1451 is 1.
GCF(1446,1451) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1451
1451 | 1451 |
1 |
Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:
1451 = 14511
∴ So by taking common prime factors GCF of 1446 and 1451 is 1
Factors of 1446
List of positive integer factors of 1446 that divides 1446 without a remainder.
1,2,3,6,241,482,723,1446
Factors of 1451
List of positive integer factors of 1451 that divides 1451 without a remainder.
1,1451
Greatest Common Factor
We found the factors and prime factorization of 1446 and 1451. The biggest common factor number is the GCF number.
So the greatest common factor 1446 and 1451 is 1.
Also check out the Least Common Multiple of 1446 and 1451
(i) The GCF of 1446 and 1451 is associative
GCF of 1446 and 1451 = GCF of 1451 and 1446
1. What is the GCF of 1446 and 1451?
Answer: GCF of 1446 and 1451 is 1.
2. 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.
3. What are the Factors of 1451?
Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.
4. How to Find the GCF of 1446 and 1451?
Answer:
Greatest Common Factor of 1446 and 1451 = 1
Step 1: Find the prime factorization of 1446
1446 = 2 x 3 x 241
Step 2: Find the prime factorization of 1451
1451 = 1451
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 1446 and 1451 is 1