Greatest Common Factor of 15416 and 15424

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 15416, 15424 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15416 and 15424 is 8.

GCF(15416,15424) = 8

GCF of 15416 and 15424

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

GCF of:
and

Greatest Common Factor of 15416 and 15424

GCF of 15416 and 15424 is 8

Prime Factorization of 15416


2 15416
2 7708
2 3854
41 1927
47 47
1

Prime factors of 15416 are 2,41,47. Prime factorization of 15416 in exponential form is:

15416 = 23×411×471

Prime Factorization of 15424


2 15424
2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 15424 are 2,241. Prime factorization of 15424 in exponential form is:

15424 = 26×2411

∴ So by taking common prime factors GCF of 15416 and 15424 is 8

Greatest Common Factor of 15416 and 15424 by matching factors method

Factors of 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1,2,4,8,41,47,82,94,164,188,328,376,1927,3854,7708,15416

Factors of 15424

List of positive integer factors of 15424 that divides 15424 without a remainder.

1,2,4,8,16,32,64,241,482,964,1928,3856,7712,15424

Greatest Common Factor

We found the factors and prime factorization of 15416 and 15424. The biggest common factor number is the GCF number.
So the greatest common factor 15416 and 15424 is 8.

Also check out the Least Common Multiple of 15416 and 15424

Properties of GCF 15416 and 15424

(i) The GCF of 15416 and 15424 is associative

GCF of 15416 and 15424 = GCF of 15424 and 15416

Related Greatest Common Factor of 15416

Related Greatest Common Factor of 15424

Frequently Asked Questions on GCF of 15416 and 15424

1. What is the GCF of 15416 and 15424?

Answer: GCF of 15416 and 15424 is 8.

2. What are the Factors of 15416?

Answer: Factors of 15416 are 1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416. There are 16 integers that are factors of 15416. The greatest factor of 15416 is 15416.

3. What are the Factors of 15424?

Answer: Factors of 15424 are 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424. There are 14 integers that are factors of 15424. The greatest factor of 15424 is 15424.

4. How to Find the GCF of 15416 and 15424?

Answer:

Greatest Common Factor of 15416 and 15424 = 8

Step 1: Find the prime factorization of 15416

15416 = 2 x 2 x 2 x 41 x 47

Step 2: Find the prime factorization of 15424

15424 = 2 x 2 x 2 x 2 x 2 x 2 x 241

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 15416 and 15424 is 8