Greatest Common Factor of 89125 and 89131

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 89125, 89131 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89125 and 89131 is 1.

GCF(89125,89131) = 1

GCF of 89125 and 89131

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

GCF of:
and

Greatest Common Factor of 89125 and 89131

GCF of 89125 and 89131 is 1

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

Prime Factorization of 89131


7 89131
7 12733
17 1819
107 107
1

Prime factors of 89131 are 7,17,107. Prime factorization of 89131 in exponential form is:

89131 = 72×171×1071

∴ So by taking common prime factors GCF of 89125 and 89131 is 1

Greatest Common Factor of 89125 and 89131 by matching factors method

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

Factors of 89131

List of positive integer factors of 89131 that divides 89131 without a remainder.

1,7,17,49,107,119,749,833,1819,5243,12733,89131

Greatest Common Factor

We found the factors and prime factorization of 89125 and 89131. The biggest common factor number is the GCF number.
So the greatest common factor 89125 and 89131 is 1.

Also check out the Least Common Multiple of 89125 and 89131

Properties of GCF 89125 and 89131

(i) The GCF of 89125 and 89131 is associative

GCF of 89125 and 89131 = GCF of 89131 and 89125

Related Greatest Common Factor of 89125

Related Greatest Common Factor of 89131

Frequently Asked Questions on GCF of 89125 and 89131

1. What is the GCF of 89125 and 89131?

Answer: GCF of 89125 and 89131 is 1.

2. 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.

3. What are the Factors of 89131?

Answer: Factors of 89131 are 1, 7, 17, 49, 107, 119, 749, 833, 1819, 5243, 12733, 89131. There are 12 integers that are factors of 89131. The greatest factor of 89131 is 89131.

4. How to Find the GCF of 89125 and 89131?

Answer:

Greatest Common Factor of 89125 and 89131 = 1

Step 1: Find the prime factorization of 89125

89125 = 5 x 5 x 5 x 23 x 31

Step 2: Find the prime factorization of 89131

89131 = 7 x 7 x 17 x 107

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 89125 and 89131 is 1