What is the Greatest Common Factor of 73438 and 73445?

Greatest common factor (GCF) of 73438 and 73445 is 1.

GCF(73438,73445) = 1

We will now calculate the prime factors of 73438 and 73445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73438 and 73445.

How to find the GCF of 73438 and 73445?

We will first find the prime factorization of 73438 and 73445. After we will calculate the factors of 73438 and 73445 and find the biggest common factor number .

Step-1: Prime Factorization of 73438

Prime factors of 73438 are 2, 73, 503. Prime factorization of 73438 in exponential form is:

73438 = 2¹ × 73¹ × 503¹

Step-2: Prime Factorization of 73445

Prime factors of 73445 are 5, 37, 397. Prime factorization of 73445 in exponential form is:

73445 = 5¹ × 37¹ × 397¹

Step-3: Factors of 73438

List of positive integer factors of 73438 that divides 73438 without a remainder.

1, 2, 73, 146, 503, 1006, 36719

Step-4: Factors of 73445

List of positive integer factors of 73445 that divides 73438 without a remainder.

1, 5, 37, 185, 397, 1985, 14689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73438 and 73445. The biggest common factor number is the GCF number.
So the greatest common factor 73438 and 73445 is 1.

Also check out the Least Common Multiple of 73438 and 73445