What is the Greatest Common Factor of 33175 and 33180?

Greatest common factor (GCF) of 33175 and 33180 is 5.

GCF(33175,33180) = 5

We will now calculate the prime factors of 33175 and 33180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33175 and 33180.

How to find the GCF of 33175 and 33180?

We will first find the prime factorization of 33175 and 33180. After we will calculate the factors of 33175 and 33180 and find the biggest common factor number .

Step-1: Prime Factorization of 33175

Prime factors of 33175 are 5, 1327. Prime factorization of 33175 in exponential form is:

33175 = 5² × 1327¹

Step-2: Prime Factorization of 33180

Prime factors of 33180 are 2, 3, 5, 7, 79. Prime factorization of 33180 in exponential form is:

33180 = 2² × 3¹ × 5¹ × 7¹ × 79¹

Step-3: Factors of 33175

List of positive integer factors of 33175 that divides 33175 without a remainder.

1, 5, 25, 1327, 6635

Step-4: Factors of 33180

List of positive integer factors of 33180 that divides 33175 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 79, 84, 105, 140, 158, 210, 237, 316, 395, 420, 474, 553, 790, 948, 1106, 1185, 1580, 1659, 2212, 2370, 2765, 3318, 4740, 5530, 6636, 8295, 11060, 16590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33175 and 33180. The biggest common factor number is the GCF number.
So the greatest common factor 33175 and 33180 is 5.

Also check out the Least Common Multiple of 33175 and 33180