What is the Greatest Common Factor of 72163 and 72176?

Greatest common factor (GCF) of 72163 and 72176 is 13.

GCF(72163,72176) = 13

We will now calculate the prime factors of 72163 and 72176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72163 and 72176.

How to find the GCF of 72163 and 72176?

We will first find the prime factorization of 72163 and 72176. After we will calculate the factors of 72163 and 72176 and find the biggest common factor number .

Step-1: Prime Factorization of 72163

Prime factors of 72163 are 7, 13, 61. Prime factorization of 72163 in exponential form is:

72163 = 7¹ × 13² × 61¹

Step-2: Prime Factorization of 72176

Prime factors of 72176 are 2, 13, 347. Prime factorization of 72176 in exponential form is:

72176 = 2⁴ × 13¹ × 347¹

Step-3: Factors of 72163

List of positive integer factors of 72163 that divides 72163 without a remainder.

1, 7, 13, 61, 91, 169, 427, 793, 1183, 5551, 10309

Step-4: Factors of 72176

List of positive integer factors of 72176 that divides 72163 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 347, 694, 1388, 2776, 4511, 5552, 9022, 18044, 36088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72163 and 72176. The biggest common factor number is the GCF number.
So the greatest common factor 72163 and 72176 is 13.

Also check out the Least Common Multiple of 72163 and 72176