What is the Greatest Common Factor of 71148 and 71160?

Greatest common factor (GCF) of 71148 and 71160 is 12.

GCF(71148,71160) = 12

We will now calculate the prime factors of 71148 and 71160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71148 and 71160.

How to find the GCF of 71148 and 71160?

We will first find the prime factorization of 71148 and 71160. After we will calculate the factors of 71148 and 71160 and find the biggest common factor number .

Step-1: Prime Factorization of 71148

Prime factors of 71148 are 2, 3, 7, 11. Prime factorization of 71148 in exponential form is:

71148 = 2² × 3¹ × 7² × 11²

Step-2: 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-3: Factors of 71148

List of positive integer factors of 71148 that divides 71148 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 121, 132, 147, 154, 196, 231, 242, 294, 308, 363, 462, 484, 539, 588, 726, 847, 924, 1078, 1452, 1617, 1694, 2156, 2541, 3234, 3388, 5082, 5929, 6468, 10164, 11858, 17787, 23716, 35574

Step-4: Factors of 71160

List of positive integer factors of 71160 that divides 71148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71148 and 71160. The biggest common factor number is the GCF number.
So the greatest common factor 71148 and 71160 is 12.

Also check out the Least Common Multiple of 71148 and 71160