Greatest Common Factor of 89131 and 89139

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 89131, 89139 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89131 and 89139 is 1.

GCF(89131,89139) = 1

GCF of 89131 and 89139

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

GCF of:
and

Greatest Common Factor of 89131 and 89139

GCF of 89131 and 89139 is 1

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

Prime Factorization of 89139


3 89139
43 29713
691 691
1

Prime factors of 89139 are 3,43,691. Prime factorization of 89139 in exponential form is:

89139 = 31×431×6911

∴ So by taking common prime factors GCF of 89131 and 89139 is 1

Greatest Common Factor of 89131 and 89139 by matching factors method

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

Factors of 89139

List of positive integer factors of 89139 that divides 89139 without a remainder.

1,3,43,129,691,2073,29713,89139

Greatest Common Factor

We found the factors and prime factorization of 89131 and 89139. The biggest common factor number is the GCF number.
So the greatest common factor 89131 and 89139 is 1.

Also check out the Least Common Multiple of 89131 and 89139

Properties of GCF 89131 and 89139

(i) The GCF of 89131 and 89139 is associative

GCF of 89131 and 89139 = GCF of 89139 and 89131

Related Greatest Common Factor of 89131

Related Greatest Common Factor of 89139

Frequently Asked Questions on GCF of 89131 and 89139

1. What is the GCF of 89131 and 89139?

Answer: GCF of 89131 and 89139 is 1.

2. 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.

3. What are the Factors of 89139?

Answer: Factors of 89139 are 1, 3, 43, 129, 691, 2073, 29713, 89139. There are 8 integers that are factors of 89139. The greatest factor of 89139 is 89139.

4. How to Find the GCF of 89131 and 89139?

Answer:

Greatest Common Factor of 89131 and 89139 = 1

Step 1: Find the prime factorization of 89131

89131 = 7 x 7 x 17 x 107

Step 2: Find the prime factorization of 89139

89139 = 3 x 43 x 691

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 89131 and 89139 is 1