Greatest Common Factor of 9416 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 9416, 9424 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9416 and 9424 is 8.

GCF(9416,9424) = 8

GCF of 9416 and 9424

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

GCF of:
and

Greatest Common Factor of 9416 and 9424

GCF of 9416 and 9424 is 8

Prime Factorization of 9416


2 9416
2 4708
2 2354
11 1177
107 107
1

Prime factors of 9416 are 2,11,107. Prime factorization of 9416 in exponential form is:

9416 = 23×111×1071

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 9416 and 9424 is 8

Greatest Common Factor of 9416 and 9424 by matching factors method

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416

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 9416 and 9424. The biggest common factor number is the GCF number.
So the greatest common factor 9416 and 9424 is 8.

Also check out the Least Common Multiple of 9416 and 9424

Properties of GCF 9416 and 9424

(i) The GCF of 9416 and 9424 is associative

GCF of 9416 and 9424 = GCF of 9424 and 9416

Related Greatest Common Factor of 9416

Related Greatest Common Factor of 9424

Frequently Asked Questions on GCF of 9416 and 9424

1. What is the GCF of 9416 and 9424?

Answer: GCF of 9416 and 9424 is 8.

2. What are the Factors of 9416?

Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.

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 9416 and 9424?

Answer:

Greatest Common Factor of 9416 and 9424 = 8

Step 1: Find the prime factorization of 9416

9416 = 2 x 2 x 2 x 11 x 107

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 9416 and 9424 is 8