What is the Greatest Common Factor of 33145 and 33160?

Greatest common factor (GCF) of 33145 and 33160 is 5.

GCF(33145,33160) = 5

We will now calculate the prime factors of 33145 and 33160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33145 and 33160.

How to find the GCF of 33145 and 33160?

We will first find the prime factorization of 33145 and 33160. After we will calculate the factors of 33145 and 33160 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 33160

Prime factors of 33160 are 2, 5, 829. Prime factorization of 33160 in exponential form is:

33160 = 2³ × 5¹ × 829¹

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 33160

List of positive integer factors of 33160 that divides 33145 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 829, 1658, 3316, 4145, 6632, 8290, 16580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33145 and 33160. The biggest common factor number is the GCF number.
So the greatest common factor 33145 and 33160 is 5.

Also check out the Least Common Multiple of 33145 and 33160