Greatest Common Factor of 11412 and 11416

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 11412, 11416 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11412 and 11416 is 4.

GCF(11412,11416) = 4

GCF of 11412 and 11416

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

GCF of:
and

Greatest Common Factor of 11412 and 11416

GCF of 11412 and 11416 is 4

Prime Factorization of 11412


2 11412
2 5706
3 2853
3 951
317 317
1

Prime factors of 11412 are 2,3,317. Prime factorization of 11412 in exponential form is:

11412 = 22×32×3171

Prime Factorization of 11416


2 11416
2 5708
2 2854
1427 1427
1

Prime factors of 11416 are 2,1427. Prime factorization of 11416 in exponential form is:

11416 = 23×14271

∴ So by taking common prime factors GCF of 11412 and 11416 is 4

Greatest Common Factor of 11412 and 11416 by matching factors method

Factors of 11412

List of positive integer factors of 11412 that divides 11412 without a remainder.

1,2,3,4,6,9,12,18,36,317,634,951,1268,1902,2853,3804,5706,11412

Factors of 11416

List of positive integer factors of 11416 that divides 11416 without a remainder.

1,2,4,8,1427,2854,5708,11416

Greatest Common Factor

We found the factors and prime factorization of 11412 and 11416. The biggest common factor number is the GCF number.
So the greatest common factor 11412 and 11416 is 4.

Also check out the Least Common Multiple of 11412 and 11416

Properties of GCF 11412 and 11416

(i) The GCF of 11412 and 11416 is associative

GCF of 11412 and 11416 = GCF of 11416 and 11412

Related Greatest Common Factor of 11412

Related Greatest Common Factor of 11416

Frequently Asked Questions on GCF of 11412 and 11416

1. What is the GCF of 11412 and 11416?

Answer: GCF of 11412 and 11416 is 4.

2. What are the Factors of 11412?

Answer: Factors of 11412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 11412. There are 18 integers that are factors of 11412. The greatest factor of 11412 is 11412.

3. What are the Factors of 11416?

Answer: Factors of 11416 are 1, 2, 4, 8, 1427, 2854, 5708, 11416. There are 8 integers that are factors of 11416. The greatest factor of 11416 is 11416.

4. How to Find the GCF of 11412 and 11416?

Answer:

Greatest Common Factor of 11412 and 11416 = 4

Step 1: Find the prime factorization of 11412

11412 = 2 x 2 x 3 x 3 x 317

Step 2: Find the prime factorization of 11416

11416 = 2 x 2 x 2 x 1427

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 11412 and 11416 is 4