Greatest Common Factor of 11025 and 11028

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, 11028 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11025 and 11028 is 3.

GCF(11025,11028) = 3

GCF of 11025 and 11028

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

GCF of:
and

Greatest Common Factor of 11025 and 11028

GCF of 11025 and 11028 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 11028


2 11028
2 5514
3 2757
919 919
1

Prime factors of 11028 are 2,3,919. Prime factorization of 11028 in exponential form is:

11028 = 22×31×9191

∴ So by taking common prime factors GCF of 11025 and 11028 is 3

Greatest Common Factor of 11025 and 11028 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 11028

List of positive integer factors of 11028 that divides 11028 without a remainder.

1,2,3,4,6,12,919,1838,2757,3676,5514,11028

Greatest Common Factor

We found the factors and prime factorization of 11025 and 11028. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11028 is 3.

Also check out the Least Common Multiple of 11025 and 11028

Properties of GCF 11025 and 11028

(i) The GCF of 11025 and 11028 is associative

GCF of 11025 and 11028 = GCF of 11028 and 11025

Related Greatest Common Factor of 11025

Related Greatest Common Factor of 11028

Frequently Asked Questions on GCF of 11025 and 11028

1. What is the GCF of 11025 and 11028?

Answer: GCF of 11025 and 11028 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 11028?

Answer: Factors of 11028 are 1, 2, 3, 4, 6, 12, 919, 1838, 2757, 3676, 5514, 11028. There are 12 integers that are factors of 11028. The greatest factor of 11028 is 11028.

4. How to Find the GCF of 11025 and 11028?

Answer:

Greatest Common Factor of 11025 and 11028 = 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 11028

11028 = 2 x 2 x 3 x 919

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 11028 is 3