What is the Greatest Common Factor of 73232 and 73244?

Greatest common factor (GCF) of 73232 and 73244 is 4.

GCF(73232,73244) = 4

We will now calculate the prime factors of 73232 and 73244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73232 and 73244.

How to find the GCF of 73232 and 73244?

We will first find the prime factorization of 73232 and 73244. After we will calculate the factors of 73232 and 73244 and find the biggest common factor number .

Step-1: Prime Factorization of 73232

Prime factors of 73232 are 2, 23, 199. Prime factorization of 73232 in exponential form is:

73232 = 2⁴ × 23¹ × 199¹

Step-2: Prime Factorization of 73244

Prime factors of 73244 are 2, 18311. Prime factorization of 73244 in exponential form is:

73244 = 2² × 18311¹

Step-3: Factors of 73232

List of positive integer factors of 73232 that divides 73232 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 199, 368, 398, 796, 1592, 3184, 4577, 9154, 18308, 36616

Step-4: Factors of 73244

List of positive integer factors of 73244 that divides 73232 without a remainder.

1, 2, 4, 18311, 36622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73232 and 73244. The biggest common factor number is the GCF number.
So the greatest common factor 73232 and 73244 is 4.

Also check out the Least Common Multiple of 73232 and 73244