Greatest Common Factor of 89120 and 89125

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 89120, 89125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89120 and 89125 is 5.

GCF(89120,89125) = 5

GCF of 89120 and 89125

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

GCF of:
and

Greatest Common Factor of 89120 and 89125

GCF of 89120 and 89125 is 5

Prime Factorization of 89120


2 89120
2 44560
2 22280
2 11140
2 5570
5 2785
557 557
1

Prime factors of 89120 are 2,5,557. Prime factorization of 89120 in exponential form is:

89120 = 25×51×5571

Prime Factorization of 89125


5 89125
5 17825
5 3565
23 713
31 31
1

Prime factors of 89125 are 5,23,31. Prime factorization of 89125 in exponential form is:

89125 = 53×231×311

∴ So by taking common prime factors GCF of 89120 and 89125 is 5

Greatest Common Factor of 89120 and 89125 by matching factors method

Factors of 89120

List of positive integer factors of 89120 that divides 89120 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,557,1114,2228,2785,4456,5570,8912,11140,17824,22280,44560,89120

Factors of 89125

List of positive integer factors of 89125 that divides 89125 without a remainder.

1,5,23,25,31,115,125,155,575,713,775,2875,3565,3875,17825,89125

Greatest Common Factor

We found the factors and prime factorization of 89120 and 89125. The biggest common factor number is the GCF number.
So the greatest common factor 89120 and 89125 is 5.

Also check out the Least Common Multiple of 89120 and 89125

Properties of GCF 89120 and 89125

(i) The GCF of 89120 and 89125 is associative

GCF of 89120 and 89125 = GCF of 89125 and 89120

Related Greatest Common Factor of 89120

Related Greatest Common Factor of 89125

Frequently Asked Questions on GCF of 89120 and 89125

1. What is the GCF of 89120 and 89125?

Answer: GCF of 89120 and 89125 is 5.

2. What are the Factors of 89120?

Answer: Factors of 89120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 17824, 22280, 44560, 89120. There are 24 integers that are factors of 89120. The greatest factor of 89120 is 89120.

3. What are the Factors of 89125?

Answer: Factors of 89125 are 1, 5, 23, 25, 31, 115, 125, 155, 575, 713, 775, 2875, 3565, 3875, 17825, 89125. There are 16 integers that are factors of 89125. The greatest factor of 89125 is 89125.

4. How to Find the GCF of 89120 and 89125?

Answer:

Greatest Common Factor of 89120 and 89125 = 5

Step 1: Find the prime factorization of 89120

89120 = 2 x 2 x 2 x 2 x 2 x 5 x 557

Step 2: Find the prime factorization of 89125

89125 = 5 x 5 x 5 x 23 x 31

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 89120 and 89125 is 5