What is the Greatest Common Factor of 73168 and 73172?

Greatest common factor (GCF) of 73168 and 73172 is 4.

GCF(73168,73172) = 4

We will now calculate the prime factors of 73168 and 73172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73168 and 73172.

How to find the GCF of 73168 and 73172?

We will first find the prime factorization of 73168 and 73172. After we will calculate the factors of 73168 and 73172 and find the biggest common factor number .

Step-1: 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-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 73168

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

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

Step-4: Factors of 73172

List of positive integer factors of 73172 that divides 73168 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 73168 and 73172. The biggest common factor number is the GCF number.
So the greatest common factor 73168 and 73172 is 4.

Also check out the Least Common Multiple of 73168 and 73172