Greatest Common Factor of 11029 and 11037

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 11029, 11037 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11029 and 11037 is 1.

GCF(11029,11037) = 1

GCF of 11029 and 11037

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

GCF of:
and

Greatest Common Factor of 11029 and 11037

GCF of 11029 and 11037 is 1

Prime Factorization of 11029


41 11029
269 269
1

Prime factors of 11029 are 41,269. Prime factorization of 11029 in exponential form is:

11029 = 411×2691

Prime Factorization of 11037


3 11037
13 3679
283 283
1

Prime factors of 11037 are 3,13,283. Prime factorization of 11037 in exponential form is:

11037 = 31×131×2831

∴ So by taking common prime factors GCF of 11029 and 11037 is 1

Greatest Common Factor of 11029 and 11037 by matching factors method

Factors of 11029

List of positive integer factors of 11029 that divides 11029 without a remainder.

1,41,269,11029

Factors of 11037

List of positive integer factors of 11037 that divides 11037 without a remainder.

1,3,13,39,283,849,3679,11037

Greatest Common Factor

We found the factors and prime factorization of 11029 and 11037. The biggest common factor number is the GCF number.
So the greatest common factor 11029 and 11037 is 1.

Also check out the Least Common Multiple of 11029 and 11037

Properties of GCF 11029 and 11037

(i) The GCF of 11029 and 11037 is associative

GCF of 11029 and 11037 = GCF of 11037 and 11029

Related Greatest Common Factor of 11029

Related Greatest Common Factor of 11037

Frequently Asked Questions on GCF of 11029 and 11037

1. What is the GCF of 11029 and 11037?

Answer: GCF of 11029 and 11037 is 1.

2. What are the Factors of 11029?

Answer: Factors of 11029 are 1, 41, 269, 11029. There are 4 integers that are factors of 11029. The greatest factor of 11029 is 11029.

3. What are the Factors of 11037?

Answer: Factors of 11037 are 1, 3, 13, 39, 283, 849, 3679, 11037. There are 8 integers that are factors of 11037. The greatest factor of 11037 is 11037.

4. How to Find the GCF of 11029 and 11037?

Answer:

Greatest Common Factor of 11029 and 11037 = 1

Step 1: Find the prime factorization of 11029

11029 = 41 x 269

Step 2: Find the prime factorization of 11037

11037 = 3 x 13 x 283

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 11029 and 11037 is 1