What is the Greatest Common Factor of 73149 and 73168?

Greatest common factor (GCF) of 73149 and 73168 is 1.

GCF(73149,73168) = 1

We will now calculate the prime factors of 73149 and 73168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73149 and 73168.

How to find the GCF of 73149 and 73168?

We will first find the prime factorization of 73149 and 73168. After we will calculate the factors of 73149 and 73168 and find the biggest common factor number .

Step-1: Prime Factorization of 73149

Prime factors of 73149 are 3, 37, 659. Prime factorization of 73149 in exponential form is:

73149 = 3¹ × 37¹ × 659¹

Step-2: Prime Factorization of 73168

Prime factors of 73168 are 2, 17, 269. Prime factorization of 73168 in exponential form is:

73168 = 2⁴ × 17¹ × 269¹

Step-3: Factors of 73149

List of positive integer factors of 73149 that divides 73149 without a remainder.

1, 3, 37, 111, 659, 1977, 24383

Step-4: Factors of 73168

List of positive integer factors of 73168 that divides 73149 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 269, 272, 538, 1076, 2152, 4304, 4573, 9146, 18292, 36584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73149 and 73168. The biggest common factor number is the GCF number.
So the greatest common factor 73149 and 73168 is 1.

Also check out the Least Common Multiple of 73149 and 73168