What is the Greatest Common Factor of 72160 and 72166?

Greatest common factor (GCF) of 72160 and 72166 is 2.

GCF(72160,72166) = 2

We will now calculate the prime factors of 72160 and 72166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72160 and 72166.

How to find the GCF of 72160 and 72166?

We will first find the prime factorization of 72160 and 72166. After we will calculate the factors of 72160 and 72166 and find the biggest common factor number .

Step-1: Prime Factorization of 72160

Prime factors of 72160 are 2, 5, 11, 41. Prime factorization of 72160 in exponential form is:

72160 = 2⁵ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 72166

Prime factors of 72166 are 2, 36083. Prime factorization of 72166 in exponential form is:

72166 = 2¹ × 36083¹

Step-3: Factors of 72160

List of positive integer factors of 72160 that divides 72160 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 41, 44, 55, 80, 82, 88, 110, 160, 164, 176, 205, 220, 328, 352, 410, 440, 451, 656, 820, 880, 902, 1312, 1640, 1760, 1804, 2255, 3280, 3608, 4510, 6560, 7216, 9020, 14432, 18040, 36080

Step-4: Factors of 72166

List of positive integer factors of 72166 that divides 72160 without a remainder.

1, 2, 36083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72160 and 72166. The biggest common factor number is the GCF number.
So the greatest common factor 72160 and 72166 is 2.

Also check out the Least Common Multiple of 72160 and 72166