Greatest Common Factor of 15218 and 15225

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 15218, 15225 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15218 and 15225 is 7.

GCF(15218,15225) = 7

GCF of 15218 and 15225

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

GCF of:
and

Greatest Common Factor of 15218 and 15225

GCF of 15218 and 15225 is 7

Prime Factorization of 15218


2 15218
7 7609
1087 1087
1

Prime factors of 15218 are 2,7,1087. Prime factorization of 15218 in exponential form is:

15218 = 21×71×10871

Prime Factorization of 15225


3 15225
5 5075
5 1015
7 203
29 29
1

Prime factors of 15225 are 3,5,7,29. Prime factorization of 15225 in exponential form is:

15225 = 31×52×71×291

∴ So by taking common prime factors GCF of 15218 and 15225 is 7

Greatest Common Factor of 15218 and 15225 by matching factors method

Factors of 15218

List of positive integer factors of 15218 that divides 15218 without a remainder.

1,2,7,14,1087,2174,7609,15218

Factors of 15225

List of positive integer factors of 15225 that divides 15225 without a remainder.

1,3,5,7,15,21,25,29,35,75,87,105,145,175,203,435,525,609,725,1015,2175,3045,5075,15225

Greatest Common Factor

We found the factors and prime factorization of 15218 and 15225. The biggest common factor number is the GCF number.
So the greatest common factor 15218 and 15225 is 7.

Also check out the Least Common Multiple of 15218 and 15225

Properties of GCF 15218 and 15225

(i) The GCF of 15218 and 15225 is associative

GCF of 15218 and 15225 = GCF of 15225 and 15218

Related Greatest Common Factor of 15218

Related Greatest Common Factor of 15225

Frequently Asked Questions on GCF of 15218 and 15225

1. What is the GCF of 15218 and 15225?

Answer: GCF of 15218 and 15225 is 7.

2. What are the Factors of 15218?

Answer: Factors of 15218 are 1, 2, 7, 14, 1087, 2174, 7609, 15218. There are 8 integers that are factors of 15218. The greatest factor of 15218 is 15218.

3. What are the Factors of 15225?

Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.

4. How to Find the GCF of 15218 and 15225?

Answer:

Greatest Common Factor of 15218 and 15225 = 7

Step 1: Find the prime factorization of 15218

15218 = 2 x 7 x 1087

Step 2: Find the prime factorization of 15225

15225 = 3 x 5 x 5 x 7 x 29

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

GCF = 7

Step 4: Therefore, the greatest common factor of 15218 and 15225 is 7