What is the Greatest Common Factor of 73023 and 73041?

Greatest common factor (GCF) of 73023 and 73041 is 3.

GCF(73023,73041) = 3

We will now calculate the prime factors of 73023 and 73041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73023 and 73041.

How to find the GCF of 73023 and 73041?

We will first find the prime factorization of 73023 and 73041. After we will calculate the factors of 73023 and 73041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73041

Prime factors of 73041 are 3, 97, 251. Prime factorization of 73041 in exponential form is:

73041 = 3¹ × 97¹ × 251¹

Step-3: Factors of 73023

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

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

Step-4: Factors of 73041

List of positive integer factors of 73041 that divides 73023 without a remainder.

1, 3, 97, 251, 291, 753, 24347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73023 and 73041. The biggest common factor number is the GCF number.
So the greatest common factor 73023 and 73041 is 3.

Also check out the Least Common Multiple of 73023 and 73041