Greatest Common Factor of 9412 and 9420

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 9412, 9420 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9412 and 9420 is 4.

GCF(9412,9420) = 4

GCF of 9412 and 9420

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

GCF of:
and

Greatest Common Factor of 9412 and 9420

GCF of 9412 and 9420 is 4

Prime Factorization of 9412


2 9412
2 4706
13 2353
181 181
1

Prime factors of 9412 are 2,13,181. Prime factorization of 9412 in exponential form is:

9412 = 22×131×1811

Prime Factorization of 9420


2 9420
2 4710
3 2355
5 785
157 157
1

Prime factors of 9420 are 2,3,5,157. Prime factorization of 9420 in exponential form is:

9420 = 22×31×51×1571

∴ So by taking common prime factors GCF of 9412 and 9420 is 4

Greatest Common Factor of 9412 and 9420 by matching factors method

Factors of 9412

List of positive integer factors of 9412 that divides 9412 without a remainder.

1,2,4,13,26,52,181,362,724,2353,4706,9412

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420

Greatest Common Factor

We found the factors and prime factorization of 9412 and 9420. The biggest common factor number is the GCF number.
So the greatest common factor 9412 and 9420 is 4.

Also check out the Least Common Multiple of 9412 and 9420

Properties of GCF 9412 and 9420

(i) The GCF of 9412 and 9420 is associative

GCF of 9412 and 9420 = GCF of 9420 and 9412

Related Greatest Common Factor of 9412

Related Greatest Common Factor of 9420

Frequently Asked Questions on GCF of 9412 and 9420

1. What is the GCF of 9412 and 9420?

Answer: GCF of 9412 and 9420 is 4.

2. What are the Factors of 9412?

Answer: Factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412. There are 12 integers that are factors of 9412. The greatest factor of 9412 is 9412.

3. What are the Factors of 9420?

Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.

4. How to Find the GCF of 9412 and 9420?

Answer:

Greatest Common Factor of 9412 and 9420 = 4

Step 1: Find the prime factorization of 9412

9412 = 2 x 2 x 13 x 181

Step 2: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

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 9412 and 9420 is 4