Greatest Common Factor of 15216 and 15220

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 15216, 15220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15216 and 15220 is 4.

GCF(15216,15220) = 4

GCF of 15216 and 15220

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

GCF of:
and

Greatest Common Factor of 15216 and 15220

GCF of 15216 and 15220 is 4

Prime Factorization of 15216


2 15216
2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 15216 are 2,3,317. Prime factorization of 15216 in exponential form is:

15216 = 24×31×3171

Prime Factorization of 15220


2 15220
2 7610
5 3805
761 761
1

Prime factors of 15220 are 2,5,761. Prime factorization of 15220 in exponential form is:

15220 = 22×51×7611

∴ So by taking common prime factors GCF of 15216 and 15220 is 4

Greatest Common Factor of 15216 and 15220 by matching factors method

Factors of 15216

List of positive integer factors of 15216 that divides 15216 without a remainder.

1,2,3,4,6,8,12,16,24,48,317,634,951,1268,1902,2536,3804,5072,7608,15216

Factors of 15220

List of positive integer factors of 15220 that divides 15220 without a remainder.

1,2,4,5,10,20,761,1522,3044,3805,7610,15220

Greatest Common Factor

We found the factors and prime factorization of 15216 and 15220. The biggest common factor number is the GCF number.
So the greatest common factor 15216 and 15220 is 4.

Also check out the Least Common Multiple of 15216 and 15220

Properties of GCF 15216 and 15220

(i) The GCF of 15216 and 15220 is associative

GCF of 15216 and 15220 = GCF of 15220 and 15216

Related Greatest Common Factor of 15216

Related Greatest Common Factor of 15220

Frequently Asked Questions on GCF of 15216 and 15220

1. What is the GCF of 15216 and 15220?

Answer: GCF of 15216 and 15220 is 4.

2. What are the Factors of 15216?

Answer: Factors of 15216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 15216. There are 20 integers that are factors of 15216. The greatest factor of 15216 is 15216.

3. What are the Factors of 15220?

Answer: Factors of 15220 are 1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610, 15220. There are 12 integers that are factors of 15220. The greatest factor of 15220 is 15220.

4. How to Find the GCF of 15216 and 15220?

Answer:

Greatest Common Factor of 15216 and 15220 = 4

Step 1: Find the prime factorization of 15216

15216 = 2 x 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 15220

15220 = 2 x 2 x 5 x 761

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15216 and 15220 is 4