What is the Greatest Common Factor of 33314 and 33325?

Greatest common factor (GCF) of 33314 and 33325 is 1.

GCF(33314,33325) = 1

We will now calculate the prime factors of 33314 and 33325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33314 and 33325.

How to find the GCF of 33314 and 33325?

We will first find the prime factorization of 33314 and 33325. After we will calculate the factors of 33314 and 33325 and find the biggest common factor number .

Step-1: Prime Factorization of 33314

Prime factors of 33314 are 2, 16657. Prime factorization of 33314 in exponential form is:

33314 = 2¹ × 16657¹

Step-2: 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-3: Factors of 33314

List of positive integer factors of 33314 that divides 33314 without a remainder.

1, 2, 16657

Step-4: Factors of 33325

List of positive integer factors of 33325 that divides 33314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33314 and 33325. The biggest common factor number is the GCF number.
So the greatest common factor 33314 and 33325 is 1.

Also check out the Least Common Multiple of 33314 and 33325