What is the Greatest Common Factor of 73012 and 73024?

Greatest common factor (GCF) of 73012 and 73024 is 4.

GCF(73012,73024) = 4

We will now calculate the prime factors of 73012 and 73024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73012 and 73024.

How to find the GCF of 73012 and 73024?

We will first find the prime factorization of 73012 and 73024. After we will calculate the factors of 73012 and 73024 and find the biggest common factor number .

Step-1: Prime Factorization of 73012

Prime factors of 73012 are 2, 18253. Prime factorization of 73012 in exponential form is:

73012 = 2² × 18253¹

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 73012

List of positive integer factors of 73012 that divides 73012 without a remainder.

1, 2, 4, 18253, 36506

Step-4: Factors of 73024

List of positive integer factors of 73024 that divides 73012 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 73012 and 73024. The biggest common factor number is the GCF number.
So the greatest common factor 73012 and 73024 is 4.

Also check out the Least Common Multiple of 73012 and 73024