Greatest Common Factor of 15420 and 15422

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 15420, 15422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15420 and 15422 is 2.

GCF(15420,15422) = 2

GCF of 15420 and 15422

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

GCF of:
and

Greatest Common Factor of 15420 and 15422

GCF of 15420 and 15422 is 2

Prime Factorization of 15420


2 15420
2 7710
3 3855
5 1285
257 257
1

Prime factors of 15420 are 2,3,5,257. Prime factorization of 15420 in exponential form is:

15420 = 22×31×51×2571

Prime Factorization of 15422


2 15422
11 7711
701 701
1

Prime factors of 15422 are 2,11,701. Prime factorization of 15422 in exponential form is:

15422 = 21×111×7011

∴ So by taking common prime factors GCF of 15420 and 15422 is 2

Greatest Common Factor of 15420 and 15422 by matching factors method

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

Factors of 15422

List of positive integer factors of 15422 that divides 15422 without a remainder.

1,2,11,22,701,1402,7711,15422

Greatest Common Factor

We found the factors and prime factorization of 15420 and 15422. The biggest common factor number is the GCF number.
So the greatest common factor 15420 and 15422 is 2.

Also check out the Least Common Multiple of 15420 and 15422

Properties of GCF 15420 and 15422

(i) The GCF of 15420 and 15422 is associative

GCF of 15420 and 15422 = GCF of 15422 and 15420

Related Greatest Common Factor of 15420

Related Greatest Common Factor of 15422

Frequently Asked Questions on GCF of 15420 and 15422

1. What is the GCF of 15420 and 15422?

Answer: GCF of 15420 and 15422 is 2.

2. 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.

3. What are the Factors of 15422?

Answer: Factors of 15422 are 1, 2, 11, 22, 701, 1402, 7711, 15422. There are 8 integers that are factors of 15422. The greatest factor of 15422 is 15422.

4. How to Find the GCF of 15420 and 15422?

Answer:

Greatest Common Factor of 15420 and 15422 = 2

Step 1: Find the prime factorization of 15420

15420 = 2 x 2 x 3 x 5 x 257

Step 2: Find the prime factorization of 15422

15422 = 2 x 11 x 701

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15420 and 15422 is 2