Greatest Common Factor of 35165 and 35167

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 35165, 35167 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35165 and 35167 is 1.

GCF(35165,35167) = 1

GCF of 35165 and 35167

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

GCF of:
and

Greatest Common Factor of 35165 and 35167

GCF of 35165 and 35167 is 1

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

Prime Factorization of 35167


11 35167
23 3197
139 139
1

Prime factors of 35167 are 11,23,139. Prime factorization of 35167 in exponential form is:

35167 = 111×231×1391

∴ So by taking common prime factors GCF of 35165 and 35167 is 1

Greatest Common Factor of 35165 and 35167 by matching factors method

Factors of 35165

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

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

Factors of 35167

List of positive integer factors of 35167 that divides 35167 without a remainder.

1,11,23,139,253,1529,3197,35167

Greatest Common Factor

We found the factors and prime factorization of 35165 and 35167. The biggest common factor number is the GCF number.
So the greatest common factor 35165 and 35167 is 1.

Also check out the Least Common Multiple of 35165 and 35167

Properties of GCF 35165 and 35167

(i) The GCF of 35165 and 35167 is associative

GCF of 35165 and 35167 = GCF of 35167 and 35165

Frequently Asked Questions on GCF of 35165 and 35167

1. What is the GCF of 35165 and 35167?

Answer: GCF of 35165 and 35167 is 1.

2. 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.

3. What are the Factors of 35167?

Answer: Factors of 35167 are 1, 11, 23, 139, 253, 1529, 3197, 35167. There are 8 integers that are factors of 35167. The greatest factor of 35167 is 35167.

4. How to Find the GCF of 35165 and 35167?

Answer:

Greatest Common Factor of 35165 and 35167 = 1

Step 1: Find the prime factorization of 35165

35165 = 5 x 13 x 541

Step 2: Find the prime factorization of 35167

35167 = 11 x 23 x 139

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 35165 and 35167 is 1