Greatest Common Factor of 28225 and 28232

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 28225, 28232 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28225 and 28232 is 1.

GCF(28225,28232) = 1

GCF of 28225 and 28232

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

GCF of:
and

Greatest Common Factor of 28225 and 28232

GCF of 28225 and 28232 is 1

Prime Factorization of 28225


5 28225
5 5645
1129 1129
1

Prime factors of 28225 are 5,1129. Prime factorization of 28225 in exponential form is:

28225 = 52×11291

Prime Factorization of 28232


2 28232
2 14116
2 7058
3529 3529
1

Prime factors of 28232 are 2,3529. Prime factorization of 28232 in exponential form is:

28232 = 23×35291

∴ So by taking common prime factors GCF of 28225 and 28232 is 1

Greatest Common Factor of 28225 and 28232 by matching factors method

Factors of 28225

List of positive integer factors of 28225 that divides 28225 without a remainder.

1,5,25,1129,5645,28225

Factors of 28232

List of positive integer factors of 28232 that divides 28232 without a remainder.

1,2,4,8,3529,7058,14116,28232

Greatest Common Factor

We found the factors and prime factorization of 28225 and 28232. The biggest common factor number is the GCF number.
So the greatest common factor 28225 and 28232 is 1.

Also check out the Least Common Multiple of 28225 and 28232

Properties of GCF 28225 and 28232

(i) The GCF of 28225 and 28232 is associative

GCF of 28225 and 28232 = GCF of 28232 and 28225

Related Greatest Common Factor of 28225

Related Greatest Common Factor of 28232

Frequently Asked Questions on GCF of 28225 and 28232

1. What is the GCF of 28225 and 28232?

Answer: GCF of 28225 and 28232 is 1.

2. What are the Factors of 28225?

Answer: Factors of 28225 are 1, 5, 25, 1129, 5645, 28225. There are 6 integers that are factors of 28225. The greatest factor of 28225 is 28225.

3. What are the Factors of 28232?

Answer: Factors of 28232 are 1, 2, 4, 8, 3529, 7058, 14116, 28232. There are 8 integers that are factors of 28232. The greatest factor of 28232 is 28232.

4. How to Find the GCF of 28225 and 28232?

Answer:

Greatest Common Factor of 28225 and 28232 = 1

Step 1: Find the prime factorization of 28225

28225 = 5 x 5 x 1129

Step 2: Find the prime factorization of 28232

28232 = 2 x 2 x 2 x 3529

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 28225 and 28232 is 1