Greatest Common Factor of 1432 and 1436

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, 1436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1432 and 1436 is 4.

GCF(1432,1436) = 4

GCF of 1432 and 1436

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

GCF of:
and

Greatest Common Factor of 1432 and 1436

GCF of 1432 and 1436 is 4

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 1436


2 1436
2 718
359 359
1

Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:

1436 = 22×3591

∴ So by taking common prime factors GCF of 1432 and 1436 is 4

Greatest Common Factor of 1432 and 1436 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 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1,2,4,359,718,1436

Greatest Common Factor

We found the factors and prime factorization of 1432 and 1436. The biggest common factor number is the GCF number.
So the greatest common factor 1432 and 1436 is 4.

Also check out the Least Common Multiple of 1432 and 1436

Properties of GCF 1432 and 1436

(i) The GCF of 1432 and 1436 is associative

GCF of 1432 and 1436 = GCF of 1436 and 1432

Related Greatest Common Factor of 1432

Related Greatest Common Factor of 1436

Frequently Asked Questions on GCF of 1432 and 1436

1. What is the GCF of 1432 and 1436?

Answer: GCF of 1432 and 1436 is 4.

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 1436?

Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.

4. How to Find the GCF of 1432 and 1436?

Answer:

Greatest Common Factor of 1432 and 1436 = 4

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 1436

1436 = 2 x 2 x 359

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 1432 and 1436 is 4