What is the Greatest Common Factor of 73590 and 73605?

Greatest common factor (GCF) of 73590 and 73605 is 15.

GCF(73590,73605) = 15

We will now calculate the prime factors of 73590 and 73605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73590 and 73605.

How to find the GCF of 73590 and 73605?

We will first find the prime factorization of 73590 and 73605. After we will calculate the factors of 73590 and 73605 and find the biggest common factor number .

Step-1: Prime Factorization of 73590

Prime factors of 73590 are 2, 3, 5, 11, 223. Prime factorization of 73590 in exponential form is:

73590 = 2¹ × 3¹ × 5¹ × 11¹ × 223¹

Step-2: Prime Factorization of 73605

Prime factors of 73605 are 3, 5, 7, 701. Prime factorization of 73605 in exponential form is:

73605 = 3¹ × 5¹ × 7¹ × 701¹

Step-3: Factors of 73590

List of positive integer factors of 73590 that divides 73590 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 223, 330, 446, 669, 1115, 1338, 2230, 2453, 3345, 4906, 6690, 7359, 12265, 14718, 24530, 36795

Step-4: Factors of 73605

List of positive integer factors of 73605 that divides 73590 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 701, 2103, 3505, 4907, 10515, 14721, 24535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73590 and 73605. The biggest common factor number is the GCF number.
So the greatest common factor 73590 and 73605 is 15.

Also check out the Least Common Multiple of 73590 and 73605