Greatest Common Factor of 33176 and 33180

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 33176, 33180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33176 and 33180 is 4.

GCF(33176,33180) = 4

GCF of 33176 and 33180

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

GCF of:
and

Greatest Common Factor of 33176 and 33180

GCF of 33176 and 33180 is 4

Prime Factorization of 33176


2 33176
2 16588
2 8294
11 4147
13 377
29 29
1

Prime factors of 33176 are 2,11,13,29. Prime factorization of 33176 in exponential form is:

33176 = 23×111×131×291

Prime Factorization of 33180


2 33180
2 16590
3 8295
5 2765
7 553
79 79
1

Prime factors of 33180 are 2,3,5,7,79. Prime factorization of 33180 in exponential form is:

33180 = 22×31×51×71×791

∴ So by taking common prime factors GCF of 33176 and 33180 is 4

Greatest Common Factor of 33176 and 33180 by matching factors method

Factors of 33176

List of positive integer factors of 33176 that divides 33176 without a remainder.

1,2,4,8,11,13,22,26,29,44,52,58,88,104,116,143,232,286,319,377,572,638,754,1144,1276,1508,2552,3016,4147,8294,16588,33176

Factors of 33180

List of positive integer factors of 33180 that divides 33180 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,79,84,105,140,158,210,237,316,395,420,474,553,790,948,1106,1185,1580,1659,2212,2370,2765,3318,4740,5530,6636,8295,11060,16590,33180

Greatest Common Factor

We found the factors and prime factorization of 33176 and 33180. The biggest common factor number is the GCF number.
So the greatest common factor 33176 and 33180 is 4.

Also check out the Least Common Multiple of 33176 and 33180

Properties of GCF 33176 and 33180

(i) The GCF of 33176 and 33180 is associative

GCF of 33176 and 33180 = GCF of 33180 and 33176

Related Greatest Common Factor of 33176

Related Greatest Common Factor of 33180

Frequently Asked Questions on GCF of 33176 and 33180

1. What is the GCF of 33176 and 33180?

Answer: GCF of 33176 and 33180 is 4.

2. What are the Factors of 33176?

Answer: Factors of 33176 are 1, 2, 4, 8, 11, 13, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 232, 286, 319, 377, 572, 638, 754, 1144, 1276, 1508, 2552, 3016, 4147, 8294, 16588, 33176. There are 32 integers that are factors of 33176. The greatest factor of 33176 is 33176.

3. What are the Factors of 33180?

Answer: Factors of 33180 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 79, 84, 105, 140, 158, 210, 237, 316, 395, 420, 474, 553, 790, 948, 1106, 1185, 1580, 1659, 2212, 2370, 2765, 3318, 4740, 5530, 6636, 8295, 11060, 16590, 33180. There are 48 integers that are factors of 33180. The greatest factor of 33180 is 33180.

4. How to Find the GCF of 33176 and 33180?

Answer:

Greatest Common Factor of 33176 and 33180 = 4

Step 1: Find the prime factorization of 33176

33176 = 2 x 2 x 2 x 11 x 13 x 29

Step 2: Find the prime factorization of 33180

33180 = 2 x 2 x 3 x 5 x 7 x 79

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 33176 and 33180 is 4