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 1404, 1412 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1404 and 1412 is 4.
GCF(1404,1412) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1404
2 | 1404 |
2 | 702 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 1404 are 2,3,13. Prime factorization of 1404 in exponential form is:
1404 = 22×33×131
Prime Factorization of 1412
2 | 1412 |
2 | 706 |
353 | 353 |
1 |
Prime factors of 1412 are 2,353. Prime factorization of 1412 in exponential form is:
1412 = 22×3531
∴ So by taking common prime factors GCF of 1404 and 1412 is 4
Factors of 1404
List of positive integer factors of 1404 that divides 1404 without a remainder.
1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Factors of 1412
List of positive integer factors of 1412 that divides 1412 without a remainder.
1,2,4,353,706,1412
Greatest Common Factor
We found the factors and prime factorization of 1404 and 1412. The biggest common factor number is the GCF number.
So the greatest common factor 1404 and 1412 is 4.
Also check out the Least Common Multiple of 1404 and 1412
(i) The GCF of 1404 and 1412 is associative
GCF of 1404 and 1412 = GCF of 1412 and 1404
1. What is the GCF of 1404 and 1412?
Answer: GCF of 1404 and 1412 is 4.
2. What are the Factors of 1404?
Answer: Factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404. There are 24 integers that are factors of 1404. The greatest factor of 1404 is 1404.
3. What are the Factors of 1412?
Answer: Factors of 1412 are 1, 2, 4, 353, 706, 1412. There are 6 integers that are factors of 1412. The greatest factor of 1412 is 1412.
4. How to Find the GCF of 1404 and 1412?
Answer:
Greatest Common Factor of 1404 and 1412 = 4
Step 1: Find the prime factorization of 1404
1404 = 2 x 2 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 1412
1412 = 2 x 2 x 353
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 1404 and 1412 is 4