Greatest Common Factor of 11428 and 11429

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, 11429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11428 and 11429 is 1.

GCF(11428,11429) = 1

GCF of 11428 and 11429

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

GCF of:
and

Greatest Common Factor of 11428 and 11429

GCF of 11428 and 11429 is 1

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 11429


11 11429
1039 1039
1

Prime factors of 11429 are 11,1039. Prime factorization of 11429 in exponential form is:

11429 = 111×10391

∴ So by taking common prime factors GCF of 11428 and 11429 is 1

Greatest Common Factor of 11428 and 11429 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 11429

List of positive integer factors of 11429 that divides 11429 without a remainder.

1,11,1039,11429

Greatest Common Factor

We found the factors and prime factorization of 11428 and 11429. The biggest common factor number is the GCF number.
So the greatest common factor 11428 and 11429 is 1.

Also check out the Least Common Multiple of 11428 and 11429

Properties of GCF 11428 and 11429

(i) The GCF of 11428 and 11429 is associative

GCF of 11428 and 11429 = GCF of 11429 and 11428

Frequently Asked Questions on GCF of 11428 and 11429

1. What is the GCF of 11428 and 11429?

Answer: GCF of 11428 and 11429 is 1.

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 11429?

Answer: Factors of 11429 are 1, 11, 1039, 11429. There are 4 integers that are factors of 11429. The greatest factor of 11429 is 11429.

4. How to Find the GCF of 11428 and 11429?

Answer:

Greatest Common Factor of 11428 and 11429 = 1

Step 1: Find the prime factorization of 11428

11428 = 2 x 2 x 2857

Step 2: Find the prime factorization of 11429

11429 = 11 x 1039

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 11428 and 11429 is 1