Greatest Common Factor of 33150 and 33154

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 33150, 33154 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33150 and 33154 is 2.

GCF(33150,33154) = 2

GCF of 33150 and 33154

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

GCF of:
and

Greatest Common Factor of 33150 and 33154

GCF of 33150 and 33154 is 2

Prime Factorization of 33150


2 33150
3 16575
5 5525
5 1105
13 221
17 17
1

Prime factors of 33150 are 2,3,5,13,17. Prime factorization of 33150 in exponential form is:

33150 = 21×31×52×131×171

Prime Factorization of 33154


2 33154
11 16577
11 1507
137 137
1

Prime factors of 33154 are 2,11,137. Prime factorization of 33154 in exponential form is:

33154 = 21×112×1371

∴ So by taking common prime factors GCF of 33150 and 33154 is 2

Greatest Common Factor of 33150 and 33154 by matching factors method

Factors of 33150

List of positive integer factors of 33150 that divides 33150 without a remainder.

1,2,3,5,6,10,13,15,17,25,26,30,34,39,50,51,65,75,78,85,102,130,150,170,195,221,255,325,390,425,442,510,650,663,850,975,1105,1275,1326,1950,2210,2550,3315,5525,6630,11050,16575,33150

Factors of 33154

List of positive integer factors of 33154 that divides 33154 without a remainder.

1,2,11,22,121,137,242,274,1507,3014,16577,33154

Greatest Common Factor

We found the factors and prime factorization of 33150 and 33154. The biggest common factor number is the GCF number.
So the greatest common factor 33150 and 33154 is 2.

Also check out the Least Common Multiple of 33150 and 33154

Properties of GCF 33150 and 33154

(i) The GCF of 33150 and 33154 is associative

GCF of 33150 and 33154 = GCF of 33154 and 33150

Related Greatest Common Factor of 33150

Related Greatest Common Factor of 33154

Frequently Asked Questions on GCF of 33150 and 33154

1. What is the GCF of 33150 and 33154?

Answer: GCF of 33150 and 33154 is 2.

2. What are the Factors of 33150?

Answer: Factors of 33150 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575, 33150. There are 48 integers that are factors of 33150. The greatest factor of 33150 is 33150.

3. What are the Factors of 33154?

Answer: Factors of 33154 are 1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154. There are 12 integers that are factors of 33154. The greatest factor of 33154 is 33154.

4. How to Find the GCF of 33150 and 33154?

Answer:

Greatest Common Factor of 33150 and 33154 = 2

Step 1: Find the prime factorization of 33150

33150 = 2 x 3 x 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 33154

33154 = 2 x 11 x 11 x 137

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 33150 and 33154 is 2