What is the Greatest Common Factor of 33180 and 33198?

Greatest common factor (GCF) of 33180 and 33198 is 6.

GCF(33180,33198) = 6

We will now calculate the prime factors of 33180 and 33198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33180 and 33198.

How to find the GCF of 33180 and 33198?

We will first find the prime factorization of 33180 and 33198. After we will calculate the factors of 33180 and 33198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33198

Prime factors of 33198 are 2, 3, 11, 503. Prime factorization of 33198 in exponential form is:

33198 = 2¹ × 3¹ × 11¹ × 503¹

Step-3: Factors of 33180

List of positive integer factors of 33180 that divides 33180 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

Step-4: Factors of 33198

List of positive integer factors of 33198 that divides 33180 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 503, 1006, 1509, 3018, 5533, 11066, 16599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33180 and 33198. The biggest common factor number is the GCF number.
So the greatest common factor 33180 and 33198 is 6.

Also check out the Least Common Multiple of 33180 and 33198