What is the Greatest Common Factor of 71148 and 71162?

Greatest common factor (GCF) of 71148 and 71162 is 14.

GCF(71148,71162) = 14

We will now calculate the prime factors of 71148 and 71162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71148 and 71162.

How to find the GCF of 71148 and 71162?

We will first find the prime factorization of 71148 and 71162. After we will calculate the factors of 71148 and 71162 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 71162

Prime factors of 71162 are 2, 7, 13, 17, 23. Prime factorization of 71162 in exponential form is:

71162 = 2¹ × 7¹ × 13¹ × 17¹ × 23¹

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 71162

List of positive integer factors of 71162 that divides 71148 without a remainder.

1, 2, 7, 13, 14, 17, 23, 26, 34, 46, 91, 119, 161, 182, 221, 238, 299, 322, 391, 442, 598, 782, 1547, 2093, 2737, 3094, 4186, 5083, 5474, 10166, 35581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71148 and 71162. The biggest common factor number is the GCF number.
So the greatest common factor 71148 and 71162 is 14.

Also check out the Least Common Multiple of 71148 and 71162