What is the Greatest Common Factor of 33325 and 33334?

Greatest common factor (GCF) of 33325 and 33334 is 1.

GCF(33325,33334) = 1

We will now calculate the prime factors of 33325 and 33334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33325 and 33334.

How to find the GCF of 33325 and 33334?

We will first find the prime factorization of 33325 and 33334. After we will calculate the factors of 33325 and 33334 and find the biggest common factor number .

Step-1: Prime Factorization of 33325

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

33325 = 5² × 31¹ × 43¹

Step-2: Prime Factorization of 33334

Prime factors of 33334 are 2, 7, 2381. Prime factorization of 33334 in exponential form is:

33334 = 2¹ × 7¹ × 2381¹

Step-3: 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

Step-4: Factors of 33334

List of positive integer factors of 33334 that divides 33325 without a remainder.

1, 2, 7, 14, 2381, 4762, 16667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33325 and 33334. The biggest common factor number is the GCF number.
So the greatest common factor 33325 and 33334 is 1.

Also check out the Least Common Multiple of 33325 and 33334