Greatest Common Factor of 11025 and 11030

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, 11030 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11025 and 11030 is 5.

GCF(11025,11030) = 5

GCF of 11025 and 11030

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

GCF of:
and

Greatest Common Factor of 11025 and 11030

GCF of 11025 and 11030 is 5

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 11030


2 11030
5 5515
1103 1103
1

Prime factors of 11030 are 2,5,1103. Prime factorization of 11030 in exponential form is:

11030 = 21×51×11031

∴ So by taking common prime factors GCF of 11025 and 11030 is 5

Greatest Common Factor of 11025 and 11030 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 11030

List of positive integer factors of 11030 that divides 11030 without a remainder.

1,2,5,10,1103,2206,5515,11030

Greatest Common Factor

We found the factors and prime factorization of 11025 and 11030. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11030 is 5.

Also check out the Least Common Multiple of 11025 and 11030

Properties of GCF 11025 and 11030

(i) The GCF of 11025 and 11030 is associative

GCF of 11025 and 11030 = GCF of 11030 and 11025

Related Greatest Common Factor of 11025

Related Greatest Common Factor of 11030

Frequently Asked Questions on GCF of 11025 and 11030

1. What is the GCF of 11025 and 11030?

Answer: GCF of 11025 and 11030 is 5.

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 11030?

Answer: Factors of 11030 are 1, 2, 5, 10, 1103, 2206, 5515, 11030. There are 8 integers that are factors of 11030. The greatest factor of 11030 is 11030.

4. How to Find the GCF of 11025 and 11030?

Answer:

Greatest Common Factor of 11025 and 11030 = 5

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 11030

11030 = 2 x 5 x 1103

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

GCF = 5

Step 4: Therefore, the greatest common factor of 11025 and 11030 is 5