Greatest Common Factor of 89164 and 89168

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 89164, 89168 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89164 and 89168 is 4.

GCF(89164,89168) = 4

GCF of 89164 and 89168

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

GCF of:
and

Greatest Common Factor of 89164 and 89168

GCF of 89164 and 89168 is 4

Prime Factorization of 89164


2 89164
2 44582
22291 22291
1

Prime factors of 89164 are 2,22291. Prime factorization of 89164 in exponential form is:

89164 = 22×222911

Prime Factorization of 89168


2 89168
2 44584
2 22292
2 11146
5573 5573
1

Prime factors of 89168 are 2,5573. Prime factorization of 89168 in exponential form is:

89168 = 24×55731

∴ So by taking common prime factors GCF of 89164 and 89168 is 4

Greatest Common Factor of 89164 and 89168 by matching factors method

Factors of 89164

List of positive integer factors of 89164 that divides 89164 without a remainder.

1,2,4,22291,44582,89164

Factors of 89168

List of positive integer factors of 89168 that divides 89168 without a remainder.

1,2,4,8,16,5573,11146,22292,44584,89168

Greatest Common Factor

We found the factors and prime factorization of 89164 and 89168. The biggest common factor number is the GCF number.
So the greatest common factor 89164 and 89168 is 4.

Also check out the Least Common Multiple of 89164 and 89168

Properties of GCF 89164 and 89168

(i) The GCF of 89164 and 89168 is associative

GCF of 89164 and 89168 = GCF of 89168 and 89164

Related Greatest Common Factor of 89164

Related Greatest Common Factor of 89168

Frequently Asked Questions on GCF of 89164 and 89168

1. What is the GCF of 89164 and 89168?

Answer: GCF of 89164 and 89168 is 4.

2. What are the Factors of 89164?

Answer: Factors of 89164 are 1, 2, 4, 22291, 44582, 89164. There are 6 integers that are factors of 89164. The greatest factor of 89164 is 89164.

3. What are the Factors of 89168?

Answer: Factors of 89168 are 1, 2, 4, 8, 16, 5573, 11146, 22292, 44584, 89168. There are 10 integers that are factors of 89168. The greatest factor of 89168 is 89168.

4. How to Find the GCF of 89164 and 89168?

Answer:

Greatest Common Factor of 89164 and 89168 = 4

Step 1: Find the prime factorization of 89164

89164 = 2 x 2 x 22291

Step 2: Find the prime factorization of 89168

89168 = 2 x 2 x 2 x 2 x 5573

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 89164 and 89168 is 4