Greatest Common Factor of 9120 and 9128

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 9120, 9128 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9120 and 9128 is 8.

GCF(9120,9128) = 8

GCF of 9120 and 9128

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

GCF of:
and

Greatest Common Factor of 9120 and 9128

GCF of 9120 and 9128 is 8

Prime Factorization of 9120


2 9120
2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 9120 are 2,3,5,19. Prime factorization of 9120 in exponential form is:

9120 = 25×31×51×191

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2,7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

∴ So by taking common prime factors GCF of 9120 and 9128 is 8

Greatest Common Factor of 9120 and 9128 by matching factors method

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors and prime factorization of 9120 and 9128. The biggest common factor number is the GCF number.
So the greatest common factor 9120 and 9128 is 8.

Also check out the Least Common Multiple of 9120 and 9128

Properties of GCF 9120 and 9128

(i) The GCF of 9120 and 9128 is associative

GCF of 9120 and 9128 = GCF of 9128 and 9120

Related Greatest Common Factor of 9120

Related Greatest Common Factor of 9128

Frequently Asked Questions on GCF of 9120 and 9128

1. What is the GCF of 9120 and 9128?

Answer: GCF of 9120 and 9128 is 8.

2. What are the Factors of 9120?

Answer: Factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120. There are 48 integers that are factors of 9120. The greatest factor of 9120 is 9120.

3. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

4. How to Find the GCF of 9120 and 9128?

Answer:

Greatest Common Factor of 9120 and 9128 = 8

Step 1: Find the prime factorization of 9120

9120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

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 9120 and 9128 is 8