Greatest Common Factor of 11025 and 11031

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 11025, 11031 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11025 and 11031 is 3.

GCF(11025,11031) = 3

GCF of 11025 and 11031

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

GCF of:
and

Greatest Common Factor of 11025 and 11031

GCF of 11025 and 11031 is 3

Prime Factorization of 11025


3 11025
3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 11025 are 3,5,7. Prime factorization of 11025 in exponential form is:

11025 = 32×52×72

Prime Factorization of 11031


3 11031
3677 3677
1

Prime factors of 11031 are 3,3677. Prime factorization of 11031 in exponential form is:

11031 = 31×36771

∴ So by taking common prime factors GCF of 11025 and 11031 is 3

Greatest Common Factor of 11025 and 11031 by matching factors method

Factors of 11025

List of positive integer factors of 11025 that divides 11025 without a remainder.

1,3,5,7,9,15,21,25,35,45,49,63,75,105,147,175,225,245,315,441,525,735,1225,1575,2205,3675,11025

Factors of 11031

List of positive integer factors of 11031 that divides 11031 without a remainder.

1,3,3677,11031

Greatest Common Factor

We found the factors and prime factorization of 11025 and 11031. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11031 is 3.

Also check out the Least Common Multiple of 11025 and 11031

Properties of GCF 11025 and 11031

(i) The GCF of 11025 and 11031 is associative

GCF of 11025 and 11031 = GCF of 11031 and 11025

Related Greatest Common Factor of 11025

Related Greatest Common Factor of 11031

Frequently Asked Questions on GCF of 11025 and 11031

1. What is the GCF of 11025 and 11031?

Answer: GCF of 11025 and 11031 is 3.

2. What are the Factors of 11025?

Answer: Factors of 11025 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025. There are 27 integers that are factors of 11025. The greatest factor of 11025 is 11025.

3. What are the Factors of 11031?

Answer: Factors of 11031 are 1, 3, 3677, 11031. There are 4 integers that are factors of 11031. The greatest factor of 11031 is 11031.

4. How to Find the GCF of 11025 and 11031?

Answer:

Greatest Common Factor of 11025 and 11031 = 3

Step 1: Find the prime factorization of 11025

11025 = 3 x 3 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 11031

11031 = 3 x 3677

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

GCF = 3

Step 4: Therefore, the greatest common factor of 11025 and 11031 is 3