What is the Greatest Common Factor of 71145 and 71162?

Greatest common factor (GCF) of 71145 and 71162 is 17.

GCF(71145,71162) = 17

We will now calculate the prime factors of 71145 and 71162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71145 and 71162.

How to find the GCF of 71145 and 71162?

We will first find the prime factorization of 71145 and 71162. After we will calculate the factors of 71145 and 71162 and find the biggest common factor number .

Step-1: Prime Factorization of 71145

Prime factors of 71145 are 3, 5, 17, 31. Prime factorization of 71145 in exponential form is:

71145 = 3³ × 5¹ × 17¹ × 31¹

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 71145

List of positive integer factors of 71145 that divides 71145 without a remainder.

1, 3, 5, 9, 15, 17, 27, 31, 45, 51, 85, 93, 135, 153, 155, 255, 279, 459, 465, 527, 765, 837, 1395, 1581, 2295, 2635, 4185, 4743, 7905, 14229, 23715

Step-4: Factors of 71162

List of positive integer factors of 71162 that divides 71145 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 71145 and 71162. The biggest common factor number is the GCF number.
So the greatest common factor 71145 and 71162 is 17.

Also check out the Least Common Multiple of 71145 and 71162