Greatest Common Factor of 11428 and 11430

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 11428, 11430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11428 and 11430 is 2.

GCF(11428,11430) = 2

GCF of 11428 and 11430

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

GCF of:
and

Greatest Common Factor of 11428 and 11430

GCF of 11428 and 11430 is 2

Prime Factorization of 11428


2 11428
2 5714
2857 2857
1

Prime factors of 11428 are 2,2857. Prime factorization of 11428 in exponential form is:

11428 = 22×28571

Prime Factorization of 11430


2 11430
3 5715
3 1905
5 635
127 127
1

Prime factors of 11430 are 2,3,5,127. Prime factorization of 11430 in exponential form is:

11430 = 21×32×51×1271

∴ So by taking common prime factors GCF of 11428 and 11430 is 2

Greatest Common Factor of 11428 and 11430 by matching factors method

Factors of 11428

List of positive integer factors of 11428 that divides 11428 without a remainder.

1,2,4,2857,5714,11428

Factors of 11430

List of positive integer factors of 11430 that divides 11430 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,127,254,381,635,762,1143,1270,1905,2286,3810,5715,11430

Greatest Common Factor

We found the factors and prime factorization of 11428 and 11430. The biggest common factor number is the GCF number.
So the greatest common factor 11428 and 11430 is 2.

Also check out the Least Common Multiple of 11428 and 11430

Properties of GCF 11428 and 11430

(i) The GCF of 11428 and 11430 is associative

GCF of 11428 and 11430 = GCF of 11430 and 11428

Related Greatest Common Factor of 11428

Related Greatest Common Factor of 11430

Frequently Asked Questions on GCF of 11428 and 11430

1. What is the GCF of 11428 and 11430?

Answer: GCF of 11428 and 11430 is 2.

2. What are the Factors of 11428?

Answer: Factors of 11428 are 1, 2, 4, 2857, 5714, 11428. There are 6 integers that are factors of 11428. The greatest factor of 11428 is 11428.

3. What are the Factors of 11430?

Answer: Factors of 11430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 127, 254, 381, 635, 762, 1143, 1270, 1905, 2286, 3810, 5715, 11430. There are 24 integers that are factors of 11430. The greatest factor of 11430 is 11430.

4. How to Find the GCF of 11428 and 11430?

Answer:

Greatest Common Factor of 11428 and 11430 = 2

Step 1: Find the prime factorization of 11428

11428 = 2 x 2 x 2857

Step 2: Find the prime factorization of 11430

11430 = 2 x 3 x 3 x 5 x 127

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

GCF = 2

Step 4: Therefore, the greatest common factor of 11428 and 11430 is 2