What is the Greatest Common Factor of 33245 and 33265?

Greatest common factor (GCF) of 33245 and 33265 is 5.

GCF(33245,33265) = 5

We will now calculate the prime factors of 33245 and 33265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33245 and 33265.

How to find the GCF of 33245 and 33265?

We will first find the prime factorization of 33245 and 33265. After we will calculate the factors of 33245 and 33265 and find the biggest common factor number .

Step-1: Prime Factorization of 33245

Prime factors of 33245 are 5, 61, 109. Prime factorization of 33245 in exponential form is:

33245 = 5¹ × 61¹ × 109¹

Step-2: Prime Factorization of 33265

Prime factors of 33265 are 5, 6653. Prime factorization of 33265 in exponential form is:

33265 = 5¹ × 6653¹

Step-3: Factors of 33245

List of positive integer factors of 33245 that divides 33245 without a remainder.

1, 5, 61, 109, 305, 545, 6649

Step-4: Factors of 33265

List of positive integer factors of 33265 that divides 33245 without a remainder.

1, 5, 6653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33245 and 33265. The biggest common factor number is the GCF number.
So the greatest common factor 33245 and 33265 is 5.

Also check out the Least Common Multiple of 33245 and 33265