What is the Greatest Common Factor of 73152 and 73172?

Greatest common factor (GCF) of 73152 and 73172 is 4.

GCF(73152,73172) = 4

We will now calculate the prime factors of 73152 and 73172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73152 and 73172.

How to find the GCF of 73152 and 73172?

We will first find the prime factorization of 73152 and 73172. After we will calculate the factors of 73152 and 73172 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 73172

Prime factors of 73172 are 2, 11, 1663. Prime factorization of 73172 in exponential form is:

73172 = 2² × 11¹ × 1663¹

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 73172

List of positive integer factors of 73172 that divides 73152 without a remainder.

1, 2, 4, 11, 22, 44, 1663, 3326, 6652, 18293, 36586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73152 and 73172. The biggest common factor number is the GCF number.
So the greatest common factor 73152 and 73172 is 4.

Also check out the Least Common Multiple of 73152 and 73172