What is the Greatest Common Factor of 73134 and 73152?

Greatest common factor (GCF) of 73134 and 73152 is 18.

GCF(73134,73152) = 18

We will now calculate the prime factors of 73134 and 73152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73134 and 73152.

How to find the GCF of 73134 and 73152?

We will first find the prime factorization of 73134 and 73152. After we will calculate the factors of 73134 and 73152 and find the biggest common factor number .

Step-1: Prime Factorization of 73134

Prime factors of 73134 are 2, 3, 17, 239. Prime factorization of 73134 in exponential form is:

73134 = 2¹ × 3² × 17¹ × 239¹

Step-2: 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-3: Factors of 73134

List of positive integer factors of 73134 that divides 73134 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 239, 306, 478, 717, 1434, 2151, 4063, 4302, 8126, 12189, 24378, 36567

Step-4: Factors of 73152

List of positive integer factors of 73152 that divides 73134 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73134 and 73152. The biggest common factor number is the GCF number.
So the greatest common factor 73134 and 73152 is 18.

Also check out the Least Common Multiple of 73134 and 73152