Greatest Common Factor of 9120 and 9125

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, 9125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9120 and 9125 is 5.

GCF(9120,9125) = 5

GCF of 9120 and 9125

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

GCF of:
and

Greatest Common Factor of 9120 and 9125

GCF of 9120 and 9125 is 5

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 9125


5 9125
5 1825
5 365
73 73
1

Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:

9125 = 53×731

∴ So by taking common prime factors GCF of 9120 and 9125 is 5

Greatest Common Factor of 9120 and 9125 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 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1,5,25,73,125,365,1825,9125

Greatest Common Factor

We found the factors and prime factorization of 9120 and 9125. The biggest common factor number is the GCF number.
So the greatest common factor 9120 and 9125 is 5.

Also check out the Least Common Multiple of 9120 and 9125

Properties of GCF 9120 and 9125

(i) The GCF of 9120 and 9125 is associative

GCF of 9120 and 9125 = GCF of 9125 and 9120

Related Greatest Common Factor of 9120

Related Greatest Common Factor of 9125

Frequently Asked Questions on GCF of 9120 and 9125

1. What is the GCF of 9120 and 9125?

Answer: GCF of 9120 and 9125 is 5.

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 9125?

Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.

4. How to Find the GCF of 9120 and 9125?

Answer:

Greatest Common Factor of 9120 and 9125 = 5

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 9125

9125 = 5 x 5 x 5 x 73

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9120 and 9125 is 5