Greatest Common Factor of 35158 and 35162

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, 35162 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35158 and 35162 is 2.

GCF(35158,35162) = 2

GCF of 35158 and 35162

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

GCF of:
and

Greatest Common Factor of 35158 and 35162

GCF of 35158 and 35162 is 2

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 35162


2 35162
17581 17581
1

Prime factors of 35162 are 2,17581. Prime factorization of 35162 in exponential form is:

35162 = 21×175811

∴ So by taking common prime factors GCF of 35158 and 35162 is 2

Greatest Common Factor of 35158 and 35162 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 35162

List of positive integer factors of 35162 that divides 35162 without a remainder.

1,2,17581,35162

Greatest Common Factor

We found the factors and prime factorization of 35158 and 35162. The biggest common factor number is the GCF number.
So the greatest common factor 35158 and 35162 is 2.

Also check out the Least Common Multiple of 35158 and 35162

Properties of GCF 35158 and 35162

(i) The GCF of 35158 and 35162 is associative

GCF of 35158 and 35162 = GCF of 35162 and 35158

Related Greatest Common Factor of 35158

Related Greatest Common Factor of 35162

Frequently Asked Questions on GCF of 35158 and 35162

1. What is the GCF of 35158 and 35162?

Answer: GCF of 35158 and 35162 is 2.

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 35162?

Answer: Factors of 35162 are 1, 2, 17581, 35162. There are 4 integers that are factors of 35162. The greatest factor of 35162 is 35162.

4. How to Find the GCF of 35158 and 35162?

Answer:

Greatest Common Factor of 35158 and 35162 = 2

Step 1: Find the prime factorization of 35158

35158 = 2 x 17579

Step 2: Find the prime factorization of 35162

35162 = 2 x 17581

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

GCF = 2

Step 4: Therefore, the greatest common factor of 35158 and 35162 is 2