Greatest Common Factor of 9420 and 9428

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 9420, 9428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9420 and 9428 is 4.

GCF(9420,9428) = 4

GCF of 9420 and 9428

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

GCF of:
and

Greatest Common Factor of 9420 and 9428

GCF of 9420 and 9428 is 4

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

Prime Factorization of 9428


2 9428
2 4714
2357 2357
1

Prime factors of 9428 are 2,2357. Prime factorization of 9428 in exponential form is:

9428 = 22×23571

∴ So by taking common prime factors GCF of 9420 and 9428 is 4

Greatest Common Factor of 9420 and 9428 by matching factors method

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

Factors of 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1,2,4,2357,4714,9428

Greatest Common Factor

We found the factors and prime factorization of 9420 and 9428. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9428 is 4.

Also check out the Least Common Multiple of 9420 and 9428

Properties of GCF 9420 and 9428

(i) The GCF of 9420 and 9428 is associative

GCF of 9420 and 9428 = GCF of 9428 and 9420

Related Greatest Common Factor of 9420

Related Greatest Common Factor of 9428

Frequently Asked Questions on GCF of 9420 and 9428

1. What is the GCF of 9420 and 9428?

Answer: GCF of 9420 and 9428 is 4.

2. 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.

3. What are the Factors of 9428?

Answer: Factors of 9428 are 1, 2, 4, 2357, 4714, 9428. There are 6 integers that are factors of 9428. The greatest factor of 9428 is 9428.

4. How to Find the GCF of 9420 and 9428?

Answer:

Greatest Common Factor of 9420 and 9428 = 4

Step 1: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

Step 2: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

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 9420 and 9428 is 4