Greatest Common Factor of 9420 and 9426

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, 9426 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9420 and 9426 is 6.

GCF(9420,9426) = 6

GCF of 9420 and 9426

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

GCF of:
and

Greatest Common Factor of 9420 and 9426

GCF of 9420 and 9426 is 6

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 9426


2 9426
3 4713
1571 1571
1

Prime factors of 9426 are 2,3,1571. Prime factorization of 9426 in exponential form is:

9426 = 21×31×15711

∴ So by taking common prime factors GCF of 9420 and 9426 is 6

Greatest Common Factor of 9420 and 9426 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 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1,2,3,6,1571,3142,4713,9426

Greatest Common Factor

We found the factors and prime factorization of 9420 and 9426. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9426 is 6.

Also check out the Least Common Multiple of 9420 and 9426

Properties of GCF 9420 and 9426

(i) The GCF of 9420 and 9426 is associative

GCF of 9420 and 9426 = GCF of 9426 and 9420

Related Greatest Common Factor of 9420

Related Greatest Common Factor of 9426

Frequently Asked Questions on GCF of 9420 and 9426

1. What is the GCF of 9420 and 9426?

Answer: GCF of 9420 and 9426 is 6.

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 9426?

Answer: Factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426. There are 8 integers that are factors of 9426. The greatest factor of 9426 is 9426.

4. How to Find the GCF of 9420 and 9426?

Answer:

Greatest Common Factor of 9420 and 9426 = 6

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 9426

9426 = 2 x 3 x 1571

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9420 and 9426 is 6