What is the Greatest Common Factor of 33465 and 33481?

Greatest common factor (GCF) of 33465 and 33481 is 1.

GCF(33465,33481) = 1

We will now calculate the prime factors of 33465 and 33481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33465 and 33481.

How to find the GCF of 33465 and 33481?

We will first find the prime factorization of 33465 and 33481. After we will calculate the factors of 33465 and 33481 and find the biggest common factor number .

Step-1: Prime Factorization of 33465

Prime factors of 33465 are 3, 5, 23, 97. Prime factorization of 33465 in exponential form is:

33465 = 3¹ × 5¹ × 23¹ × 97¹

Step-2: Prime Factorization of 33481

Prime factors of 33481 are 7, 4783. Prime factorization of 33481 in exponential form is:

33481 = 7¹ × 4783¹

Step-3: Factors of 33465

List of positive integer factors of 33465 that divides 33465 without a remainder.

1, 3, 5, 15, 23, 69, 97, 115, 291, 345, 485, 1455, 2231, 6693, 11155

Step-4: Factors of 33481

List of positive integer factors of 33481 that divides 33465 without a remainder.

1, 7, 4783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33465 and 33481. The biggest common factor number is the GCF number.
So the greatest common factor 33465 and 33481 is 1.

Also check out the Least Common Multiple of 33465 and 33481