Greatest Common Factor of 33156 and 33164

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 33156, 33164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33156 and 33164 is 4.

GCF(33156,33164) = 4

GCF of 33156 and 33164

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

GCF of:
and

Greatest Common Factor of 33156 and 33164

GCF of 33156 and 33164 is 4

Prime Factorization of 33156


2 33156
2 16578
3 8289
3 2763
3 921
307 307
1

Prime factors of 33156 are 2,3,307. Prime factorization of 33156 in exponential form is:

33156 = 22×33×3071

Prime Factorization of 33164


2 33164
2 16582
8291 8291
1

Prime factors of 33164 are 2,8291. Prime factorization of 33164 in exponential form is:

33164 = 22×82911

∴ So by taking common prime factors GCF of 33156 and 33164 is 4

Greatest Common Factor of 33156 and 33164 by matching factors method

Factors of 33156

List of positive integer factors of 33156 that divides 33156 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108,307,614,921,1228,1842,2763,3684,5526,8289,11052,16578,33156

Factors of 33164

List of positive integer factors of 33164 that divides 33164 without a remainder.

1,2,4,8291,16582,33164

Greatest Common Factor

We found the factors and prime factorization of 33156 and 33164. The biggest common factor number is the GCF number.
So the greatest common factor 33156 and 33164 is 4.

Also check out the Least Common Multiple of 33156 and 33164

Properties of GCF 33156 and 33164

(i) The GCF of 33156 and 33164 is associative

GCF of 33156 and 33164 = GCF of 33164 and 33156

Related Greatest Common Factor of 33156

Related Greatest Common Factor of 33164

Frequently Asked Questions on GCF of 33156 and 33164

1. What is the GCF of 33156 and 33164?

Answer: GCF of 33156 and 33164 is 4.

2. What are the Factors of 33156?

Answer: Factors of 33156 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 33156. There are 24 integers that are factors of 33156. The greatest factor of 33156 is 33156.

3. What are the Factors of 33164?

Answer: Factors of 33164 are 1, 2, 4, 8291, 16582, 33164. There are 6 integers that are factors of 33164. The greatest factor of 33164 is 33164.

4. How to Find the GCF of 33156 and 33164?

Answer:

Greatest Common Factor of 33156 and 33164 = 4

Step 1: Find the prime factorization of 33156

33156 = 2 x 2 x 3 x 3 x 3 x 307

Step 2: Find the prime factorization of 33164

33164 = 2 x 2 x 8291

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 33156 and 33164 is 4