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 1419, 1425 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1419 and 1425 is 3.
GCF(1419,1425) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1419
3 | 1419 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 1419 are 3,11,43. Prime factorization of 1419 in exponential form is:
1419 = 31×111×431
Prime Factorization of 1425
3 | 1425 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 1425 are 3,5,19. Prime factorization of 1425 in exponential form is:
1425 = 31×52×191
∴ So by taking common prime factors GCF of 1419 and 1425 is 3
Factors of 1419
List of positive integer factors of 1419 that divides 1419 without a remainder.
1,3,11,33,43,129,473,1419
Factors of 1425
List of positive integer factors of 1425 that divides 1425 without a remainder.
1,3,5,15,19,25,57,75,95,285,475,1425
Greatest Common Factor
We found the factors and prime factorization of 1419 and 1425. The biggest common factor number is the GCF number.
So the greatest common factor 1419 and 1425 is 3.
Also check out the Least Common Multiple of 1419 and 1425
(i) The GCF of 1419 and 1425 is associative
GCF of 1419 and 1425 = GCF of 1425 and 1419
1. What is the GCF of 1419 and 1425?
Answer: GCF of 1419 and 1425 is 3.
2. What are the Factors of 1419?
Answer: Factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419. There are 8 integers that are factors of 1419. The greatest factor of 1419 is 1419.
3. What are the Factors of 1425?
Answer: Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425. There are 12 integers that are factors of 1425. The greatest factor of 1425 is 1425.
4. How to Find the GCF of 1419 and 1425?
Answer:
Greatest Common Factor of 1419 and 1425 = 3
Step 1: Find the prime factorization of 1419
1419 = 3 x 11 x 43
Step 2: Find the prime factorization of 1425
1425 = 3 x 5 x 5 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1419 and 1425 is 3