Greatest Common Factor of 33323 and 33325

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 33323, 33325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33323 and 33325 is 1.

GCF(33323,33325) = 1

GCF of 33323 and 33325

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

GCF of:
and

Greatest Common Factor of 33323 and 33325

GCF of 33323 and 33325 is 1

Prime Factorization of 33323


47 33323
709 709
1

Prime factors of 33323 are 47,709. Prime factorization of 33323 in exponential form is:

33323 = 471×7091

Prime Factorization of 33325


5 33325
5 6665
31 1333
43 43
1

Prime factors of 33325 are 5,31,43. Prime factorization of 33325 in exponential form is:

33325 = 52×311×431

∴ So by taking common prime factors GCF of 33323 and 33325 is 1

Greatest Common Factor of 33323 and 33325 by matching factors method

Factors of 33323

List of positive integer factors of 33323 that divides 33323 without a remainder.

1,47,709,33323

Factors of 33325

List of positive integer factors of 33325 that divides 33325 without a remainder.

1,5,25,31,43,155,215,775,1075,1333,6665,33325

Greatest Common Factor

We found the factors and prime factorization of 33323 and 33325. The biggest common factor number is the GCF number.
So the greatest common factor 33323 and 33325 is 1.

Also check out the Least Common Multiple of 33323 and 33325

Properties of GCF 33323 and 33325

(i) The GCF of 33323 and 33325 is associative

GCF of 33323 and 33325 = GCF of 33325 and 33323

Frequently Asked Questions on GCF of 33323 and 33325

1. What is the GCF of 33323 and 33325?

Answer: GCF of 33323 and 33325 is 1.

2. What are the Factors of 33323?

Answer: Factors of 33323 are 1, 47, 709, 33323. There are 4 integers that are factors of 33323. The greatest factor of 33323 is 33323.

3. What are the Factors of 33325?

Answer: Factors of 33325 are 1, 5, 25, 31, 43, 155, 215, 775, 1075, 1333, 6665, 33325. There are 12 integers that are factors of 33325. The greatest factor of 33325 is 33325.

4. How to Find the GCF of 33323 and 33325?

Answer:

Greatest Common Factor of 33323 and 33325 = 1

Step 1: Find the prime factorization of 33323

33323 = 47 x 709

Step 2: Find the prime factorization of 33325

33325 = 5 x 5 x 31 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 33323 and 33325 is 1