Greatest Common Factor of 1428 and 1435

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 1428, 1435 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1428 and 1435 is 7.

GCF(1428,1435) = 7

GCF of 1428 and 1435

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

GCF of:
and

Greatest Common Factor of 1428 and 1435

GCF of 1428 and 1435 is 7

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

Prime Factorization of 1435


5 1435
7 287
41 41
1

Prime factors of 1435 are 5,7,41. Prime factorization of 1435 in exponential form is:

1435 = 51×71×411

∴ So by taking common prime factors GCF of 1428 and 1435 is 7

Greatest Common Factor of 1428 and 1435 by matching factors method

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

Factors of 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1,5,7,35,41,205,287,1435

Greatest Common Factor

We found the factors and prime factorization of 1428 and 1435. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1435 is 7.

Also check out the Least Common Multiple of 1428 and 1435

Properties of GCF 1428 and 1435

(i) The GCF of 1428 and 1435 is associative

GCF of 1428 and 1435 = GCF of 1435 and 1428

Related Greatest Common Factor of 1428

Related Greatest Common Factor of 1435

Frequently Asked Questions on GCF of 1428 and 1435

1. What is the GCF of 1428 and 1435?

Answer: GCF of 1428 and 1435 is 7.

2. 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.

3. What are the Factors of 1435?

Answer: Factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435. There are 8 integers that are factors of 1435. The greatest factor of 1435 is 1435.

4. How to Find the GCF of 1428 and 1435?

Answer:

Greatest Common Factor of 1428 and 1435 = 7

Step 1: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 1435

1435 = 5 x 7 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1428 and 1435 is 7