What is the Greatest Common Factor of 73005 and 73023?

Greatest common factor (GCF) of 73005 and 73023 is 3.

GCF(73005,73023) = 3

We will now calculate the prime factors of 73005 and 73023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73005 and 73023.

How to find the GCF of 73005 and 73023?

We will first find the prime factorization of 73005 and 73023. After we will calculate the factors of 73005 and 73023 and find the biggest common factor number .

Step-1: Prime Factorization of 73005

Prime factors of 73005 are 3, 5, 31, 157. Prime factorization of 73005 in exponential form is:

73005 = 3¹ × 5¹ × 31¹ × 157¹

Step-2: Prime Factorization of 73023

Prime factors of 73023 are 3, 101, 241. Prime factorization of 73023 in exponential form is:

73023 = 3¹ × 101¹ × 241¹

Step-3: Factors of 73005

List of positive integer factors of 73005 that divides 73005 without a remainder.

1, 3, 5, 15, 31, 93, 155, 157, 465, 471, 785, 2355, 4867, 14601, 24335

Step-4: Factors of 73023

List of positive integer factors of 73023 that divides 73005 without a remainder.

1, 3, 101, 241, 303, 723, 24341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73005 and 73023. The biggest common factor number is the GCF number.
So the greatest common factor 73005 and 73023 is 3.

Also check out the Least Common Multiple of 73005 and 73023