Greatest Common Factor of 15424 and 15431

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 15424, 15431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15424 and 15431 is 1.

GCF(15424,15431) = 1

GCF of 15424 and 15431

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

GCF of:
and

Greatest Common Factor of 15424 and 15431

GCF of 15424 and 15431 is 1

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

Prime Factorization of 15431


13 15431
1187 1187
1

Prime factors of 15431 are 13,1187. Prime factorization of 15431 in exponential form is:

15431 = 131×11871

∴ So by taking common prime factors GCF of 15424 and 15431 is 1

Greatest Common Factor of 15424 and 15431 by matching factors method

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

Factors of 15431

List of positive integer factors of 15431 that divides 15431 without a remainder.

1,13,1187,15431

Greatest Common Factor

We found the factors and prime factorization of 15424 and 15431. The biggest common factor number is the GCF number.
So the greatest common factor 15424 and 15431 is 1.

Also check out the Least Common Multiple of 15424 and 15431

Properties of GCF 15424 and 15431

(i) The GCF of 15424 and 15431 is associative

GCF of 15424 and 15431 = GCF of 15431 and 15424

Related Greatest Common Factor of 15424

Related Greatest Common Factor of 15431

Frequently Asked Questions on GCF of 15424 and 15431

1. What is the GCF of 15424 and 15431?

Answer: GCF of 15424 and 15431 is 1.

2. 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.

3. What are the Factors of 15431?

Answer: Factors of 15431 are 1, 13, 1187, 15431. There are 4 integers that are factors of 15431. The greatest factor of 15431 is 15431.

4. How to Find the GCF of 15424 and 15431?

Answer:

Greatest Common Factor of 15424 and 15431 = 1

Step 1: Find the prime factorization of 15424

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

Step 2: Find the prime factorization of 15431

15431 = 13 x 1187

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 15424 and 15431 is 1