What is the Greatest Common Factor of 73605 and 73623?

Greatest common factor (GCF) of 73605 and 73623 is 3.

GCF(73605,73623) = 3

We will now calculate the prime factors of 73605 and 73623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73605 and 73623.

How to find the GCF of 73605 and 73623?

We will first find the prime factorization of 73605 and 73623. After we will calculate the factors of 73605 and 73623 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73623

Prime factors of 73623 are 3, 11, 23, 97. Prime factorization of 73623 in exponential form is:

73623 = 3¹ × 11¹ × 23¹ × 97¹

Step-3: Factors of 73605

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

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

Step-4: Factors of 73623

List of positive integer factors of 73623 that divides 73605 without a remainder.

1, 3, 11, 23, 33, 69, 97, 253, 291, 759, 1067, 2231, 3201, 6693, 24541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73605 and 73623. The biggest common factor number is the GCF number.
So the greatest common factor 73605 and 73623 is 3.

Also check out the Least Common Multiple of 73605 and 73623