Greatest Common Factor of 89133 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 89133, 89139 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89133 and 89139 is 3.

GCF(89133,89139) = 3

GCF of 89133 and 89139

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

GCF of:
and

Greatest Common Factor of 89133 and 89139

GCF of 89133 and 89139 is 3

Prime Factorization of 89133


3 89133
11 29711
37 2701
73 73
1

Prime factors of 89133 are 3,11,37,73. Prime factorization of 89133 in exponential form is:

89133 = 31×111×371×731

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 89133 and 89139 is 3

Greatest Common Factor of 89133 and 89139 by matching factors method

Factors of 89133

List of positive integer factors of 89133 that divides 89133 without a remainder.

1,3,11,33,37,73,111,219,407,803,1221,2409,2701,8103,29711,89133

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 89133 and 89139. The biggest common factor number is the GCF number.
So the greatest common factor 89133 and 89139 is 3.

Also check out the Least Common Multiple of 89133 and 89139

Properties of GCF 89133 and 89139

(i) The GCF of 89133 and 89139 is associative

GCF of 89133 and 89139 = GCF of 89139 and 89133

Frequently Asked Questions on GCF of 89133 and 89139

1. What is the GCF of 89133 and 89139?

Answer: GCF of 89133 and 89139 is 3.

2. What are the Factors of 89133?

Answer: Factors of 89133 are 1, 3, 11, 33, 37, 73, 111, 219, 407, 803, 1221, 2409, 2701, 8103, 29711, 89133. There are 16 integers that are factors of 89133. The greatest factor of 89133 is 89133.

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 89133 and 89139?

Answer:

Greatest Common Factor of 89133 and 89139 = 3

Step 1: Find the prime factorization of 89133

89133 = 3 x 11 x 37 x 73

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 = 3

Step 4: Therefore, the greatest common factor of 89133 and 89139 is 3