What is the Greatest Common Factor of 73044 and 73059?

Greatest common factor (GCF) of 73044 and 73059 is 3.

GCF(73044,73059) = 3

We will now calculate the prime factors of 73044 and 73059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73044 and 73059.

How to find the GCF of 73044 and 73059?

We will first find the prime factorization of 73044 and 73059. After we will calculate the factors of 73044 and 73059 and find the biggest common factor number .

Step-1: Prime Factorization of 73044

Prime factors of 73044 are 2, 3, 2029. Prime factorization of 73044 in exponential form is:

73044 = 2² × 3² × 2029¹

Step-2: Prime Factorization of 73059

Prime factors of 73059 are 3, 7, 71. Prime factorization of 73059 in exponential form is:

73059 = 3¹ × 7³ × 71¹

Step-3: Factors of 73044

List of positive integer factors of 73044 that divides 73044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2029, 4058, 6087, 8116, 12174, 18261, 24348, 36522

Step-4: Factors of 73059

List of positive integer factors of 73059 that divides 73044 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 343, 497, 1029, 1491, 3479, 10437, 24353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73044 and 73059. The biggest common factor number is the GCF number.
So the greatest common factor 73044 and 73059 is 3.

Also check out the Least Common Multiple of 73044 and 73059