Greatest Common Factor of 89139 and 89145

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 89139, 89145 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89139 and 89145 is 3.

GCF(89139,89145) = 3

GCF of 89139 and 89145

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

GCF of:
and

Greatest Common Factor of 89139 and 89145

GCF of 89139 and 89145 is 3

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

Prime Factorization of 89145


3 89145
3 29715
5 9905
7 1981
283 283
1

Prime factors of 89145 are 3,5,7,283. Prime factorization of 89145 in exponential form is:

89145 = 32×51×71×2831

∴ So by taking common prime factors GCF of 89139 and 89145 is 3

Greatest Common Factor of 89139 and 89145 by matching factors method

Factors of 89139

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

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

Factors of 89145

List of positive integer factors of 89145 that divides 89145 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,283,315,849,1415,1981,2547,4245,5943,9905,12735,17829,29715,89145

Greatest Common Factor

We found the factors and prime factorization of 89139 and 89145. The biggest common factor number is the GCF number.
So the greatest common factor 89139 and 89145 is 3.

Also check out the Least Common Multiple of 89139 and 89145

Properties of GCF 89139 and 89145

(i) The GCF of 89139 and 89145 is associative

GCF of 89139 and 89145 = GCF of 89145 and 89139

Related Greatest Common Factor of 89139

Related Greatest Common Factor of 89145

Frequently Asked Questions on GCF of 89139 and 89145

1. What is the GCF of 89139 and 89145?

Answer: GCF of 89139 and 89145 is 3.

2. 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.

3. What are the Factors of 89145?

Answer: Factors of 89145 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 283, 315, 849, 1415, 1981, 2547, 4245, 5943, 9905, 12735, 17829, 29715, 89145. There are 24 integers that are factors of 89145. The greatest factor of 89145 is 89145.

4. How to Find the GCF of 89139 and 89145?

Answer:

Greatest Common Factor of 89139 and 89145 = 3

Step 1: Find the prime factorization of 89139

89139 = 3 x 43 x 691

Step 2: Find the prime factorization of 89145

89145 = 3 x 3 x 5 x 7 x 283

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

GCF = 3

Step 4: Therefore, the greatest common factor of 89139 and 89145 is 3