What is the Greatest Common Factor of 73152 and 73158?

Greatest common factor (GCF) of 73152 and 73158 is 6.

GCF(73152,73158) = 6

We will now calculate the prime factors of 73152 and 73158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73152 and 73158.

How to find the GCF of 73152 and 73158?

We will first find the prime factorization of 73152 and 73158. After we will calculate the factors of 73152 and 73158 and find the biggest common factor number .

Step-1: Prime Factorization of 73152

Prime factors of 73152 are 2, 3, 127. Prime factorization of 73152 in exponential form is:

73152 = 2⁶ × 3² × 127¹

Step-2: Prime Factorization of 73158

Prime factors of 73158 are 2, 3, 89, 137. Prime factorization of 73158 in exponential form is:

73158 = 2¹ × 3¹ × 89¹ × 137¹

Step-3: Factors of 73152

List of positive integer factors of 73152 that divides 73152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 127, 144, 192, 254, 288, 381, 508, 576, 762, 1016, 1143, 1524, 2032, 2286, 3048, 4064, 4572, 6096, 8128, 9144, 12192, 18288, 24384, 36576

Step-4: Factors of 73158

List of positive integer factors of 73158 that divides 73152 without a remainder.

1, 2, 3, 6, 89, 137, 178, 267, 274, 411, 534, 822, 12193, 24386, 36579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73152 and 73158. The biggest common factor number is the GCF number.
So the greatest common factor 73152 and 73158 is 6.

Also check out the Least Common Multiple of 73152 and 73158