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 1476, 1484 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1476 and 1484 is 4.
GCF(1476,1484) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1476
2 | 1476 |
2 | 738 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 1476 are 2,3,41. Prime factorization of 1476 in exponential form is:
1476 = 22×32×411
Prime Factorization of 1484
2 | 1484 |
2 | 742 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 1484 are 2,7,53. Prime factorization of 1484 in exponential form is:
1484 = 22×71×531
∴ So by taking common prime factors GCF of 1476 and 1484 is 4
Factors of 1476
List of positive integer factors of 1476 that divides 1476 without a remainder.
1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476
Factors of 1484
List of positive integer factors of 1484 that divides 1484 without a remainder.
1,2,4,7,14,28,53,106,212,371,742,1484
Greatest Common Factor
We found the factors and prime factorization of 1476 and 1484. The biggest common factor number is the GCF number.
So the greatest common factor 1476 and 1484 is 4.
Also check out the Least Common Multiple of 1476 and 1484
(i) The GCF of 1476 and 1484 is associative
GCF of 1476 and 1484 = GCF of 1484 and 1476
1. What is the GCF of 1476 and 1484?
Answer: GCF of 1476 and 1484 is 4.
2. What are the Factors of 1476?
Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.
3. What are the Factors of 1484?
Answer: Factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. There are 12 integers that are factors of 1484. The greatest factor of 1484 is 1484.
4. How to Find the GCF of 1476 and 1484?
Answer:
Greatest Common Factor of 1476 and 1484 = 4
Step 1: Find the prime factorization of 1476
1476 = 2 x 2 x 3 x 3 x 41
Step 2: Find the prime factorization of 1484
1484 = 2 x 2 x 7 x 53
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 1476 and 1484 is 4