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 1424, 1428 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1424 and 1428 is 4.
GCF(1424,1428) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1424
2 | 1424 |
2 | 712 |
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:
1424 = 24×891
Prime Factorization of 1428
2 | 1428 |
2 | 714 |
3 | 357 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1428 are 2,3,7,17. Prime factorization of 1428 in exponential form is:
1428 = 22×31×71×171
∴ So by taking common prime factors GCF of 1424 and 1428 is 4
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Factors of 1428
List of positive integer factors of 1428 that divides 1428 without a remainder.
1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428
Greatest Common Factor
We found the factors and prime factorization of 1424 and 1428. The biggest common factor number is the GCF number.
So the greatest common factor 1424 and 1428 is 4.
Also check out the Least Common Multiple of 1424 and 1428
(i) The GCF of 1424 and 1428 is associative
GCF of 1424 and 1428 = GCF of 1428 and 1424
1. What is the GCF of 1424 and 1428?
Answer: GCF of 1424 and 1428 is 4.
2. What are the Factors of 1424?
Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.
3. What are the Factors of 1428?
Answer: Factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428. There are 24 integers that are factors of 1428. The greatest factor of 1428 is 1428.
4. How to Find the GCF of 1424 and 1428?
Answer:
Greatest Common Factor of 1424 and 1428 = 4
Step 1: Find the prime factorization of 1424
1424 = 2 x 2 x 2 x 2 x 89
Step 2: Find the prime factorization of 1428
1428 = 2 x 2 x 3 x 7 x 17
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 1424 and 1428 is 4