What is the Greatest Common Factor of 33145 and 33164?

Greatest common factor (GCF) of 33145 and 33164 is 1.

GCF(33145,33164) = 1

We will now calculate the prime factors of 33145 and 33164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33145 and 33164.

How to find the GCF of 33145 and 33164?

We will first find the prime factorization of 33145 and 33164. After we will calculate the factors of 33145 and 33164 and find the biggest common factor number .

Step-1: Prime Factorization of 33145

Prime factors of 33145 are 5, 7, 947. Prime factorization of 33145 in exponential form is:

33145 = 5¹ × 7¹ × 947¹

Step-2: Prime Factorization of 33164

Prime factors of 33164 are 2, 8291. Prime factorization of 33164 in exponential form is:

33164 = 2² × 8291¹

Step-3: Factors of 33145

List of positive integer factors of 33145 that divides 33145 without a remainder.

1, 5, 7, 35, 947, 4735, 6629

Step-4: Factors of 33164

List of positive integer factors of 33164 that divides 33145 without a remainder.

1, 2, 4, 8291, 16582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33145 and 33164. The biggest common factor number is the GCF number.
So the greatest common factor 33145 and 33164 is 1.

Also check out the Least Common Multiple of 33145 and 33164