What is the Greatest Common Factor of 73020 and 73029?

Greatest common factor (GCF) of 73020 and 73029 is 3.

GCF(73020,73029) = 3

We will now calculate the prime factors of 73020 and 73029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73020 and 73029.

How to find the GCF of 73020 and 73029?

We will first find the prime factorization of 73020 and 73029. After we will calculate the factors of 73020 and 73029 and find the biggest common factor number .

Step-1: Prime Factorization of 73020

Prime factors of 73020 are 2, 3, 5, 1217. Prime factorization of 73020 in exponential form is:

73020 = 2² × 3¹ × 5¹ × 1217¹

Step-2: Prime Factorization of 73029

Prime factors of 73029 are 3, 11, 2213. Prime factorization of 73029 in exponential form is:

73029 = 3¹ × 11¹ × 2213¹

Step-3: Factors of 73020

List of positive integer factors of 73020 that divides 73020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1217, 2434, 3651, 4868, 6085, 7302, 12170, 14604, 18255, 24340, 36510

Step-4: Factors of 73029

List of positive integer factors of 73029 that divides 73020 without a remainder.

1, 3, 11, 33, 2213, 6639, 24343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73020 and 73029. The biggest common factor number is the GCF number.
So the greatest common factor 73020 and 73029 is 3.

Also check out the Least Common Multiple of 73020 and 73029