Greatest Common Factor of 9420 and 9424

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, 9424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9420 and 9424 is 4.

GCF(9420,9424) = 4

GCF of 9420 and 9424

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

GCF of:
and

Greatest Common Factor of 9420 and 9424

GCF of 9420 and 9424 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 9424


2 9424
2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 9424 are 2,19,31. Prime factorization of 9424 in exponential form is:

9424 = 24×191×311

∴ So by taking common prime factors GCF of 9420 and 9424 is 4

Greatest Common Factor of 9420 and 9424 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 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Greatest Common Factor

We found the factors and prime factorization of 9420 and 9424. The biggest common factor number is the GCF number.
So the greatest common factor 9420 and 9424 is 4.

Also check out the Least Common Multiple of 9420 and 9424

Properties of GCF 9420 and 9424

(i) The GCF of 9420 and 9424 is associative

GCF of 9420 and 9424 = GCF of 9424 and 9420

Related Greatest Common Factor of 9420

Related Greatest Common Factor of 9424

Frequently Asked Questions on GCF of 9420 and 9424

1. What is the GCF of 9420 and 9424?

Answer: GCF of 9420 and 9424 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 9424?

Answer: Factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424. There are 20 integers that are factors of 9424. The greatest factor of 9424 is 9424.

4. How to Find the GCF of 9420 and 9424?

Answer:

Greatest Common Factor of 9420 and 9424 = 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 9424

9424 = 2 x 2 x 2 x 2 x 19 x 31

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 9424 is 4