What is the Greatest Common Factor of 33605 and 33621?

Greatest common factor (GCF) of 33605 and 33621 is 1.

GCF(33605,33621) = 1

We will now calculate the prime factors of 33605 and 33621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33605 and 33621.

How to find the GCF of 33605 and 33621?

We will first find the prime factorization of 33605 and 33621. After we will calculate the factors of 33605 and 33621 and find the biggest common factor number .

Step-1: Prime Factorization of 33605

Prime factors of 33605 are 5, 11, 13, 47. Prime factorization of 33605 in exponential form is:

33605 = 5¹ × 11¹ × 13¹ × 47¹

Step-2: Prime Factorization of 33621

Prime factors of 33621 are 3, 7, 1601. Prime factorization of 33621 in exponential form is:

33621 = 3¹ × 7¹ × 1601¹

Step-3: Factors of 33605

List of positive integer factors of 33605 that divides 33605 without a remainder.

1, 5, 11, 13, 47, 55, 65, 143, 235, 517, 611, 715, 2585, 3055, 6721

Step-4: Factors of 33621

List of positive integer factors of 33621 that divides 33605 without a remainder.

1, 3, 7, 21, 1601, 4803, 11207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33605 and 33621. The biggest common factor number is the GCF number.
So the greatest common factor 33605 and 33621 is 1.

Also check out the Least Common Multiple of 33605 and 33621