What is the Greatest Common Factor of 73020 and 73024?

Greatest common factor (GCF) of 73020 and 73024 is 4.

GCF(73020,73024) = 4

We will now calculate the prime factors of 73020 and 73024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73020 and 73024.

How to find the GCF of 73020 and 73024?

We will first find the prime factorization of 73020 and 73024. After we will calculate the factors of 73020 and 73024 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 73024

Prime factors of 73024 are 2, 7, 163. Prime factorization of 73024 in exponential form is:

73024 = 2⁶ × 7¹ × 163¹

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 73024

List of positive integer factors of 73024 that divides 73020 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 163, 224, 326, 448, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 10432, 18256, 36512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73020 and 73024. The biggest common factor number is the GCF number.
So the greatest common factor 73020 and 73024 is 4.

Also check out the Least Common Multiple of 73020 and 73024