Greatest Common Factor of 35158 and 35165

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 35158, 35165 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35158 and 35165 is 1.

GCF(35158,35165) = 1

GCF of 35158 and 35165

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

GCF of:
and

Greatest Common Factor of 35158 and 35165

GCF of 35158 and 35165 is 1

Prime Factorization of 35158


2 35158
17579 17579
1

Prime factors of 35158 are 2,17579. Prime factorization of 35158 in exponential form is:

35158 = 21×175791

Prime Factorization of 35165


5 35165
13 7033
541 541
1

Prime factors of 35165 are 5,13,541. Prime factorization of 35165 in exponential form is:

35165 = 51×131×5411

∴ So by taking common prime factors GCF of 35158 and 35165 is 1

Greatest Common Factor of 35158 and 35165 by matching factors method

Factors of 35158

List of positive integer factors of 35158 that divides 35158 without a remainder.

1,2,17579,35158

Factors of 35165

List of positive integer factors of 35165 that divides 35165 without a remainder.

1,5,13,65,541,2705,7033,35165

Greatest Common Factor

We found the factors and prime factorization of 35158 and 35165. The biggest common factor number is the GCF number.
So the greatest common factor 35158 and 35165 is 1.

Also check out the Least Common Multiple of 35158 and 35165

Properties of GCF 35158 and 35165

(i) The GCF of 35158 and 35165 is associative

GCF of 35158 and 35165 = GCF of 35165 and 35158

Frequently Asked Questions on GCF of 35158 and 35165

1. What is the GCF of 35158 and 35165?

Answer: GCF of 35158 and 35165 is 1.

2. What are the Factors of 35158?

Answer: Factors of 35158 are 1, 2, 17579, 35158. There are 4 integers that are factors of 35158. The greatest factor of 35158 is 35158.

3. What are the Factors of 35165?

Answer: Factors of 35165 are 1, 5, 13, 65, 541, 2705, 7033, 35165. There are 8 integers that are factors of 35165. The greatest factor of 35165 is 35165.

4. How to Find the GCF of 35158 and 35165?

Answer:

Greatest Common Factor of 35158 and 35165 = 1

Step 1: Find the prime factorization of 35158

35158 = 2 x 17579

Step 2: Find the prime factorization of 35165

35165 = 5 x 13 x 541

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 35158 and 35165 is 1