Greatest Common Factor of 89135 and 89142

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 89135, 89142 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 89135 and 89142 is 1.

GCF(89135,89142) = 1

GCF of 89135 and 89142

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

GCF of:
and

Greatest Common Factor of 89135 and 89142

GCF of 89135 and 89142 is 1

Prime Factorization of 89135


5 89135
17827 17827
1

Prime factors of 89135 are 5,17827. Prime factorization of 89135 in exponential form is:

89135 = 51×178271

Prime Factorization of 89142


2 89142
3 44571
83 14857
179 179
1

Prime factors of 89142 are 2,3,83,179. Prime factorization of 89142 in exponential form is:

89142 = 21×31×831×1791

∴ So by taking common prime factors GCF of 89135 and 89142 is 1

Greatest Common Factor of 89135 and 89142 by matching factors method

Factors of 89135

List of positive integer factors of 89135 that divides 89135 without a remainder.

1,5,17827,89135

Factors of 89142

List of positive integer factors of 89142 that divides 89142 without a remainder.

1,2,3,6,83,166,179,249,358,498,537,1074,14857,29714,44571,89142

Greatest Common Factor

We found the factors and prime factorization of 89135 and 89142. The biggest common factor number is the GCF number.
So the greatest common factor 89135 and 89142 is 1.

Also check out the Least Common Multiple of 89135 and 89142

Properties of GCF 89135 and 89142

(i) The GCF of 89135 and 89142 is associative

GCF of 89135 and 89142 = GCF of 89142 and 89135

Related Greatest Common Factor of 89135

Related Greatest Common Factor of 89142

Frequently Asked Questions on GCF of 89135 and 89142

1. What is the GCF of 89135 and 89142?

Answer: GCF of 89135 and 89142 is 1.

2. What are the Factors of 89135?

Answer: Factors of 89135 are 1, 5, 17827, 89135. There are 4 integers that are factors of 89135. The greatest factor of 89135 is 89135.

3. What are the Factors of 89142?

Answer: Factors of 89142 are 1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571, 89142. There are 16 integers that are factors of 89142. The greatest factor of 89142 is 89142.

4. How to Find the GCF of 89135 and 89142?

Answer:

Greatest Common Factor of 89135 and 89142 = 1

Step 1: Find the prime factorization of 89135

89135 = 5 x 17827

Step 2: Find the prime factorization of 89142

89142 = 2 x 3 x 83 x 179

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 89135 and 89142 is 1