Greatest Common Factor of 9120 and 9124

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, 9124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9120 and 9124 is 4.

GCF(9120,9124) = 4

GCF of 9120 and 9124

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

GCF of:
and

Greatest Common Factor of 9120 and 9124

GCF of 9120 and 9124 is 4

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 9124


2 9124
2 4562
2281 2281
1

Prime factors of 9124 are 2,2281. Prime factorization of 9124 in exponential form is:

9124 = 22×22811

∴ So by taking common prime factors GCF of 9120 and 9124 is 4

Greatest Common Factor of 9120 and 9124 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 9124

List of positive integer factors of 9124 that divides 9124 without a remainder.

1,2,4,2281,4562,9124

Greatest Common Factor

We found the factors and prime factorization of 9120 and 9124. The biggest common factor number is the GCF number.
So the greatest common factor 9120 and 9124 is 4.

Also check out the Least Common Multiple of 9120 and 9124

Properties of GCF 9120 and 9124

(i) The GCF of 9120 and 9124 is associative

GCF of 9120 and 9124 = GCF of 9124 and 9120

Related Greatest Common Factor of 9120

Related Greatest Common Factor of 9124

Frequently Asked Questions on GCF of 9120 and 9124

1. What is the GCF of 9120 and 9124?

Answer: GCF of 9120 and 9124 is 4.

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 9124?

Answer: Factors of 9124 are 1, 2, 4, 2281, 4562, 9124. There are 6 integers that are factors of 9124. The greatest factor of 9124 is 9124.

4. How to Find the GCF of 9120 and 9124?

Answer:

Greatest Common Factor of 9120 and 9124 = 4

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 9124

9124 = 2 x 2 x 2281

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 9120 and 9124 is 4