Greatest Common Factor of 11432 and 11436

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 11432, 11436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11432 and 11436 is 4.

GCF(11432,11436) = 4

GCF of 11432 and 11436

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

GCF of:
and

Greatest Common Factor of 11432 and 11436

GCF of 11432 and 11436 is 4

Prime Factorization of 11432


2 11432
2 5716
2 2858
1429 1429
1

Prime factors of 11432 are 2,1429. Prime factorization of 11432 in exponential form is:

11432 = 23×14291

Prime Factorization of 11436


2 11436
2 5718
3 2859
953 953
1

Prime factors of 11436 are 2,3,953. Prime factorization of 11436 in exponential form is:

11436 = 22×31×9531

∴ So by taking common prime factors GCF of 11432 and 11436 is 4

Greatest Common Factor of 11432 and 11436 by matching factors method

Factors of 11432

List of positive integer factors of 11432 that divides 11432 without a remainder.

1,2,4,8,1429,2858,5716,11432

Factors of 11436

List of positive integer factors of 11436 that divides 11436 without a remainder.

1,2,3,4,6,12,953,1906,2859,3812,5718,11436

Greatest Common Factor

We found the factors and prime factorization of 11432 and 11436. The biggest common factor number is the GCF number.
So the greatest common factor 11432 and 11436 is 4.

Also check out the Least Common Multiple of 11432 and 11436

Properties of GCF 11432 and 11436

(i) The GCF of 11432 and 11436 is associative

GCF of 11432 and 11436 = GCF of 11436 and 11432

Related Greatest Common Factor of 11432

Related Greatest Common Factor of 11436

Frequently Asked Questions on GCF of 11432 and 11436

1. What is the GCF of 11432 and 11436?

Answer: GCF of 11432 and 11436 is 4.

2. What are the Factors of 11432?

Answer: Factors of 11432 are 1, 2, 4, 8, 1429, 2858, 5716, 11432. There are 8 integers that are factors of 11432. The greatest factor of 11432 is 11432.

3. What are the Factors of 11436?

Answer: Factors of 11436 are 1, 2, 3, 4, 6, 12, 953, 1906, 2859, 3812, 5718, 11436. There are 12 integers that are factors of 11436. The greatest factor of 11436 is 11436.

4. How to Find the GCF of 11432 and 11436?

Answer:

Greatest Common Factor of 11432 and 11436 = 4

Step 1: Find the prime factorization of 11432

11432 = 2 x 2 x 2 x 1429

Step 2: Find the prime factorization of 11436

11436 = 2 x 2 x 3 x 953

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 11432 and 11436 is 4