Greatest Common Factor of 1425 and 1428

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 1425, 1428 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1425 and 1428 is 3.

GCF(1425,1428) = 3

GCF of 1425 and 1428

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1425 and 1428

GCF of 1425 and 1428 is 3

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

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 1425 and 1428 is 3

Greatest Common Factor of 1425 and 1428 by matching factors method

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

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 1425 and 1428. The biggest common factor number is the GCF number.
So the greatest common factor 1425 and 1428 is 3.

Also check out the Least Common Multiple of 1425 and 1428

Properties of GCF 1425 and 1428

(i) The GCF of 1425 and 1428 is associative

GCF of 1425 and 1428 = GCF of 1428 and 1425

Related Greatest Common Factor of 1425

Related Greatest Common Factor of 1428

Frequently Asked Questions on GCF of 1425 and 1428

1. What is the GCF of 1425 and 1428?

Answer: GCF of 1425 and 1428 is 3.

2. 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.

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 1425 and 1428?

Answer:

Greatest Common Factor of 1425 and 1428 = 3

Step 1: Find the prime factorization of 1425

1425 = 3 x 5 x 5 x 19

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 = 3

Step 4: Therefore, the greatest common factor of 1425 and 1428 is 3