Greatest Common Factor of 1432 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 1432, 1435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1432 and 1435 is 1.

GCF(1432,1435) = 1

GCF of 1432 and 1435

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

GCF of:
and

Greatest Common Factor of 1432 and 1435

GCF of 1432 and 1435 is 1

Prime Factorization of 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

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 1432 and 1435 is 1

Greatest Common Factor of 1432 and 1435 by matching factors method

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

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 1432 and 1435. The biggest common factor number is the GCF number.
So the greatest common factor 1432 and 1435 is 1.

Also check out the Least Common Multiple of 1432 and 1435

Properties of GCF 1432 and 1435

(i) The GCF of 1432 and 1435 is associative

GCF of 1432 and 1435 = GCF of 1435 and 1432

Related Greatest Common Factor of 1432

Related Greatest Common Factor of 1435

Frequently Asked Questions on GCF of 1432 and 1435

1. What is the GCF of 1432 and 1435?

Answer: GCF of 1432 and 1435 is 1.

2. What are the Factors of 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

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 1432 and 1435?

Answer:

Greatest Common Factor of 1432 and 1435 = 1

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

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 = = 1

Step 4: Therefore, the greatest common factor of 1432 and 1435 is 1