Greatest Common Factor of 15211 and 15218

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 15211, 15218 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15211 and 15218 is 7.

GCF(15211,15218) = 7

GCF of 15211 and 15218

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

GCF of:
and

Greatest Common Factor of 15211 and 15218

GCF of 15211 and 15218 is 7

Prime Factorization of 15211


7 15211
41 2173
53 53
1

Prime factors of 15211 are 7,41,53. Prime factorization of 15211 in exponential form is:

15211 = 71×411×531

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

∴ So by taking common prime factors GCF of 15211 and 15218 is 7

Greatest Common Factor of 15211 and 15218 by matching factors method

Factors of 15211

List of positive integer factors of 15211 that divides 15211 without a remainder.

1,7,41,53,287,371,2173,15211

Factors of 15218

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

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

Greatest Common Factor

We found the factors and prime factorization of 15211 and 15218. The biggest common factor number is the GCF number.
So the greatest common factor 15211 and 15218 is 7.

Also check out the Least Common Multiple of 15211 and 15218

Properties of GCF 15211 and 15218

(i) The GCF of 15211 and 15218 is associative

GCF of 15211 and 15218 = GCF of 15218 and 15211

Related Greatest Common Factor of 15211

Related Greatest Common Factor of 15218

Frequently Asked Questions on GCF of 15211 and 15218

1. What is the GCF of 15211 and 15218?

Answer: GCF of 15211 and 15218 is 7.

2. What are the Factors of 15211?

Answer: Factors of 15211 are 1, 7, 41, 53, 287, 371, 2173, 15211. There are 8 integers that are factors of 15211. The greatest factor of 15211 is 15211.

3. 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.

4. How to Find the GCF of 15211 and 15218?

Answer:

Greatest Common Factor of 15211 and 15218 = 7

Step 1: Find the prime factorization of 15211

15211 = 7 x 41 x 53

Step 2: Find the prime factorization of 15218

15218 = 2 x 7 x 1087

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 15211 and 15218 is 7