Greatest Common Factor of 33152 and 33156

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 33152, 33156 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33152 and 33156 is 4.

GCF(33152,33156) = 4

GCF of 33152 and 33156

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

GCF of:
and

Greatest Common Factor of 33152 and 33156

GCF of 33152 and 33156 is 4

Prime Factorization of 33152


2 33152
2 16576
2 8288
2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 33152 are 2,7,37. Prime factorization of 33152 in exponential form is:

33152 = 27×71×371

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

∴ So by taking common prime factors GCF of 33152 and 33156 is 4

Greatest Common Factor of 33152 and 33156 by matching factors method

Factors of 33152

List of positive integer factors of 33152 that divides 33152 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,64,74,112,128,148,224,259,296,448,518,592,896,1036,1184,2072,2368,4144,4736,8288,16576,33152

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

Greatest Common Factor

We found the factors and prime factorization of 33152 and 33156. The biggest common factor number is the GCF number.
So the greatest common factor 33152 and 33156 is 4.

Also check out the Least Common Multiple of 33152 and 33156

Properties of GCF 33152 and 33156

(i) The GCF of 33152 and 33156 is associative

GCF of 33152 and 33156 = GCF of 33156 and 33152

Related Greatest Common Factor of 33152

Related Greatest Common Factor of 33156

Frequently Asked Questions on GCF of 33152 and 33156

1. What is the GCF of 33152 and 33156?

Answer: GCF of 33152 and 33156 is 4.

2. What are the Factors of 33152?

Answer: Factors of 33152 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 259, 296, 448, 518, 592, 896, 1036, 1184, 2072, 2368, 4144, 4736, 8288, 16576, 33152. There are 32 integers that are factors of 33152. The greatest factor of 33152 is 33152.

3. 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.

4. How to Find the GCF of 33152 and 33156?

Answer:

Greatest Common Factor of 33152 and 33156 = 4

Step 1: Find the prime factorization of 33152

33152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 33156

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

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 33152 and 33156 is 4