What is the Greatest Common Factor of 71160 and 71168?

Greatest common factor (GCF) of 71160 and 71168 is 8.

GCF(71160,71168) = 8

We will now calculate the prime factors of 71160 and 71168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71160 and 71168.

How to find the GCF of 71160 and 71168?

We will first find the prime factorization of 71160 and 71168. After we will calculate the factors of 71160 and 71168 and find the biggest common factor number .

Step-1: Prime Factorization of 71160

Prime factors of 71160 are 2, 3, 5, 593. Prime factorization of 71160 in exponential form is:

71160 = 2³ × 3¹ × 5¹ × 593¹

Step-2: Prime Factorization of 71168

Prime factors of 71168 are 2, 139. Prime factorization of 71168 in exponential form is:

71168 = 2⁹ × 139¹

Step-3: Factors of 71160

List of positive integer factors of 71160 that divides 71160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 593, 1186, 1779, 2372, 2965, 3558, 4744, 5930, 7116, 8895, 11860, 14232, 17790, 23720, 35580

Step-4: Factors of 71168

List of positive integer factors of 71168 that divides 71160 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 139, 256, 278, 512, 556, 1112, 2224, 4448, 8896, 17792, 35584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71160 and 71168. The biggest common factor number is the GCF number.
So the greatest common factor 71160 and 71168 is 8.

Also check out the Least Common Multiple of 71160 and 71168