Greatest Common Factor of 33194 and 33201

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 33194, 33201 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33194 and 33201 is 7.

GCF(33194,33201) = 7

GCF of 33194 and 33201

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

GCF of:
and

Greatest Common Factor of 33194 and 33201

GCF of 33194 and 33201 is 7

Prime Factorization of 33194


2 33194
7 16597
2371 2371
1

Prime factors of 33194 are 2,7,2371. Prime factorization of 33194 in exponential form is:

33194 = 21×71×23711

Prime Factorization of 33201


3 33201
3 11067
7 3689
17 527
31 31
1

Prime factors of 33201 are 3,7,17,31. Prime factorization of 33201 in exponential form is:

33201 = 32×71×171×311

∴ So by taking common prime factors GCF of 33194 and 33201 is 7

Greatest Common Factor of 33194 and 33201 by matching factors method

Factors of 33194

List of positive integer factors of 33194 that divides 33194 without a remainder.

1,2,7,14,2371,4742,16597,33194

Factors of 33201

List of positive integer factors of 33201 that divides 33201 without a remainder.

1,3,7,9,17,21,31,51,63,93,119,153,217,279,357,527,651,1071,1581,1953,3689,4743,11067,33201

Greatest Common Factor

We found the factors and prime factorization of 33194 and 33201. The biggest common factor number is the GCF number.
So the greatest common factor 33194 and 33201 is 7.

Also check out the Least Common Multiple of 33194 and 33201

Properties of GCF 33194 and 33201

(i) The GCF of 33194 and 33201 is associative

GCF of 33194 and 33201 = GCF of 33201 and 33194

Related Greatest Common Factor of 33194

Related Greatest Common Factor of 33201

Frequently Asked Questions on GCF of 33194 and 33201

1. What is the GCF of 33194 and 33201?

Answer: GCF of 33194 and 33201 is 7.

2. What are the Factors of 33194?

Answer: Factors of 33194 are 1, 2, 7, 14, 2371, 4742, 16597, 33194. There are 8 integers that are factors of 33194. The greatest factor of 33194 is 33194.

3. What are the Factors of 33201?

Answer: Factors of 33201 are 1, 3, 7, 9, 17, 21, 31, 51, 63, 93, 119, 153, 217, 279, 357, 527, 651, 1071, 1581, 1953, 3689, 4743, 11067, 33201. There are 24 integers that are factors of 33201. The greatest factor of 33201 is 33201.

4. How to Find the GCF of 33194 and 33201?

Answer:

Greatest Common Factor of 33194 and 33201 = 7

Step 1: Find the prime factorization of 33194

33194 = 2 x 7 x 2371

Step 2: Find the prime factorization of 33201

33201 = 3 x 3 x 7 x 17 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 33194 and 33201 is 7