Greatest Common Factor of 15413 and 15420

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 15413, 15420 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15413 and 15420 is 1.

GCF(15413,15420) = 1

GCF of 15413 and 15420

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

GCF of:
and

Greatest Common Factor of 15413 and 15420

GCF of 15413 and 15420 is 1

Prime Factorization of 15413


15413 15413
1

Prime factors of 15413 are 15413. Prime factorization of 15413 in exponential form is:

15413 = 154131

Prime Factorization of 15420


2 15420
2 7710
3 3855
5 1285
257 257
1

Prime factors of 15420 are 2.Prime factorization of 15420 in exponential form is:

15420 = 22×31×51×2571

∴ So by taking common prime factors GCF of 15413 and 15420 is 1

Greatest Common Factor of 15413 and 15420 by matching factors method

Factors of 15413

List of positive integer factors of 15413 that divides 15413 without a remainder.

1,15413

Factors of 15420

List of positive integer factors of 15420 that divides 15420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,257,514,771,1028,1285,1542,2570,3084,3855,5140,7710,15420

Greatest Common Factor

We found the factors and prime factorization of 15413 and 15420. The biggest common factor number is the GCF number.
So the greatest common factor 15413 and 15420 is 1.

Also check out the Least Common Multiple of 15413 and 15420

Properties of GCF 15413 and 15420

(i) The GCF of 15413 and 15420 is associative

GCF of 15413 and 15420 = GCF of 15420 and 15413

Related Greatest Common Factor of 15413

Related Greatest Common Factor of 15420

Frequently Asked Questions on GCF of 15413 and 15420

1. What is the GCF of 15413 and 15420?

Answer: GCF of 15413 and 15420 is 1.

2. What are the Factors of 15413?

Answer: Factors of 15413 are 1, 15413. There are 2 integers that are factors of 15413. The greatest factor of 15413 is 15413.

3. What are the Factors of 15420?

Answer: Factors of 15420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 257, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 7710, 15420. There are 24 integers that are factors of 15420. The greatest factor of 15420 is 15420.

4. How to Find the GCF of 15413 and 15420?

Answer:

Greatest Common Factor of 15413 and 15420 = 1

Step 1: Find the prime factorization of 15413

15413 = 15413

Step 2: Find the prime factorization of 15420

15420 = 2 x 2 x 3 x 5 x 257

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 15413 and 15420 is 1