What is the Greatest Common Factor of 73604 and 73623?

Greatest common factor (GCF) of 73604 and 73623 is 1.

GCF(73604,73623) = 1

We will now calculate the prime factors of 73604 and 73623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73604 and 73623.

How to find the GCF of 73604 and 73623?

We will first find the prime factorization of 73604 and 73623. After we will calculate the factors of 73604 and 73623 and find the biggest common factor number .

Step-1: Prime Factorization of 73604

Prime factors of 73604 are 2, 18401. Prime factorization of 73604 in exponential form is:

73604 = 2² × 18401¹

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 73604

List of positive integer factors of 73604 that divides 73604 without a remainder.

1, 2, 4, 18401, 36802

Step-4: Factors of 73623

List of positive integer factors of 73623 that divides 73604 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 73604 and 73623. The biggest common factor number is the GCF number.
So the greatest common factor 73604 and 73623 is 1.

Also check out the Least Common Multiple of 73604 and 73623