Greatest Common Factor of 89165 and 89171

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 89165, 89171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89165 and 89171 is 1.

GCF(89165,89171) = 1

GCF of 89165 and 89171

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

GCF of:
and

Greatest Common Factor of 89165 and 89171

GCF of 89165 and 89171 is 1

Prime Factorization of 89165


5 89165
17 17833
1049 1049
1

Prime factors of 89165 are 5,17,1049. Prime factorization of 89165 in exponential form is:

89165 = 51×171×10491

Prime Factorization of 89171


23 89171
3877 3877
1

Prime factors of 89171 are 23,3877. Prime factorization of 89171 in exponential form is:

89171 = 231×38771

∴ So by taking common prime factors GCF of 89165 and 89171 is 1

Greatest Common Factor of 89165 and 89171 by matching factors method

Factors of 89165

List of positive integer factors of 89165 that divides 89165 without a remainder.

1,5,17,85,1049,5245,17833,89165

Factors of 89171

List of positive integer factors of 89171 that divides 89171 without a remainder.

1,23,3877,89171

Greatest Common Factor

We found the factors and prime factorization of 89165 and 89171. The biggest common factor number is the GCF number.
So the greatest common factor 89165 and 89171 is 1.

Also check out the Least Common Multiple of 89165 and 89171

Properties of GCF 89165 and 89171

(i) The GCF of 89165 and 89171 is associative

GCF of 89165 and 89171 = GCF of 89171 and 89165

Frequently Asked Questions on GCF of 89165 and 89171

1. What is the GCF of 89165 and 89171?

Answer: GCF of 89165 and 89171 is 1.

2. What are the Factors of 89165?

Answer: Factors of 89165 are 1, 5, 17, 85, 1049, 5245, 17833, 89165. There are 8 integers that are factors of 89165. The greatest factor of 89165 is 89165.

3. What are the Factors of 89171?

Answer: Factors of 89171 are 1, 23, 3877, 89171. There are 4 integers that are factors of 89171. The greatest factor of 89171 is 89171.

4. How to Find the GCF of 89165 and 89171?

Answer:

Greatest Common Factor of 89165 and 89171 = 1

Step 1: Find the prime factorization of 89165

89165 = 5 x 17 x 1049

Step 2: Find the prime factorization of 89171

89171 = 23 x 3877

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 89165 and 89171 is 1