Greatest Common Factor of 35158 and 35164

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, 35164 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35158 and 35164 is 2.

GCF(35158,35164) = 2

GCF of 35158 and 35164

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

GCF of:
and

Greatest Common Factor of 35158 and 35164

GCF of 35158 and 35164 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 35164


2 35164
2 17582
59 8791
149 149
1

Prime factors of 35164 are 2,59,149. Prime factorization of 35164 in exponential form is:

35164 = 22×591×1491

∴ So by taking common prime factors GCF of 35158 and 35164 is 2

Greatest Common Factor of 35158 and 35164 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 35164

List of positive integer factors of 35164 that divides 35164 without a remainder.

1,2,4,59,118,149,236,298,596,8791,17582,35164

Greatest Common Factor

We found the factors and prime factorization of 35158 and 35164. The biggest common factor number is the GCF number.
So the greatest common factor 35158 and 35164 is 2.

Also check out the Least Common Multiple of 35158 and 35164

Properties of GCF 35158 and 35164

(i) The GCF of 35158 and 35164 is associative

GCF of 35158 and 35164 = GCF of 35164 and 35158

Related Greatest Common Factor of 35158

Related Greatest Common Factor of 35164

Frequently Asked Questions on GCF of 35158 and 35164

1. What is the GCF of 35158 and 35164?

Answer: GCF of 35158 and 35164 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 35164?

Answer: Factors of 35164 are 1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164. There are 12 integers that are factors of 35164. The greatest factor of 35164 is 35164.

4. How to Find the GCF of 35158 and 35164?

Answer:

Greatest Common Factor of 35158 and 35164 = 2

Step 1: Find the prime factorization of 35158

35158 = 2 x 17579

Step 2: Find the prime factorization of 35164

35164 = 2 x 2 x 59 x 149

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 35164 is 2