Greatest Common Factor of 89159 and 89164

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 89159, 89164 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89159 and 89164 is 1.

GCF(89159,89164) = 1

GCF of 89159 and 89164

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

GCF of:
and

Greatest Common Factor of 89159 and 89164

GCF of 89159 and 89164 is 1

Prime Factorization of 89159


7 89159
47 12737
271 271
1

Prime factors of 89159 are 7,47,271. Prime factorization of 89159 in exponential form is:

89159 = 71×471×2711

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

∴ So by taking common prime factors GCF of 89159 and 89164 is 1

Greatest Common Factor of 89159 and 89164 by matching factors method

Factors of 89159

List of positive integer factors of 89159 that divides 89159 without a remainder.

1,7,47,271,329,1897,12737,89159

Factors of 89164

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

1,2,4,22291,44582,89164

Greatest Common Factor

We found the factors and prime factorization of 89159 and 89164. The biggest common factor number is the GCF number.
So the greatest common factor 89159 and 89164 is 1.

Also check out the Least Common Multiple of 89159 and 89164

Properties of GCF 89159 and 89164

(i) The GCF of 89159 and 89164 is associative

GCF of 89159 and 89164 = GCF of 89164 and 89159

Frequently Asked Questions on GCF of 89159 and 89164

1. What is the GCF of 89159 and 89164?

Answer: GCF of 89159 and 89164 is 1.

2. What are the Factors of 89159?

Answer: Factors of 89159 are 1, 7, 47, 271, 329, 1897, 12737, 89159. There are 8 integers that are factors of 89159. The greatest factor of 89159 is 89159.

3. 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.

4. How to Find the GCF of 89159 and 89164?

Answer:

Greatest Common Factor of 89159 and 89164 = 1

Step 1: Find the prime factorization of 89159

89159 = 7 x 47 x 271

Step 2: Find the prime factorization of 89164

89164 = 2 x 2 x 22291

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 89159 and 89164 is 1