Greatest Common Factor of 89130 and 89134

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 89130, 89134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89130 and 89134 is 2.

GCF(89130,89134) = 2

GCF of 89130 and 89134

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

GCF of:
and

Greatest Common Factor of 89130 and 89134

GCF of 89130 and 89134 is 2

Prime Factorization of 89130


2 89130
3 44565
5 14855
2971 2971
1

Prime factors of 89130 are 2,3,5,2971. Prime factorization of 89130 in exponential form is:

89130 = 21×31×51×29711

Prime Factorization of 89134


2 89134
41 44567
1087 1087
1

Prime factors of 89134 are 2,41,1087. Prime factorization of 89134 in exponential form is:

89134 = 21×411×10871

∴ So by taking common prime factors GCF of 89130 and 89134 is 2

Greatest Common Factor of 89130 and 89134 by matching factors method

Factors of 89130

List of positive integer factors of 89130 that divides 89130 without a remainder.

1,2,3,5,6,10,15,30,2971,5942,8913,14855,17826,29710,44565,89130

Factors of 89134

List of positive integer factors of 89134 that divides 89134 without a remainder.

1,2,41,82,1087,2174,44567,89134

Greatest Common Factor

We found the factors and prime factorization of 89130 and 89134. The biggest common factor number is the GCF number.
So the greatest common factor 89130 and 89134 is 2.

Also check out the Least Common Multiple of 89130 and 89134

Properties of GCF 89130 and 89134

(i) The GCF of 89130 and 89134 is associative

GCF of 89130 and 89134 = GCF of 89134 and 89130

Related Greatest Common Factor of 89130

Related Greatest Common Factor of 89134

Frequently Asked Questions on GCF of 89130 and 89134

1. What is the GCF of 89130 and 89134?

Answer: GCF of 89130 and 89134 is 2.

2. What are the Factors of 89130?

Answer: Factors of 89130 are 1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565, 89130. There are 16 integers that are factors of 89130. The greatest factor of 89130 is 89130.

3. What are the Factors of 89134?

Answer: Factors of 89134 are 1, 2, 41, 82, 1087, 2174, 44567, 89134. There are 8 integers that are factors of 89134. The greatest factor of 89134 is 89134.

4. How to Find the GCF of 89130 and 89134?

Answer:

Greatest Common Factor of 89130 and 89134 = 2

Step 1: Find the prime factorization of 89130

89130 = 2 x 3 x 5 x 2971

Step 2: Find the prime factorization of 89134

89134 = 2 x 41 x 1087

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

GCF = 2

Step 4: Therefore, the greatest common factor of 89130 and 89134 is 2