What is the Greatest Common Factor of 81142 and 81158?

Greatest common factor (GCF) of 81142 and 81158 is 2.

GCF(81142,81158) = 2

We will now calculate the prime factors of 81142 and 81158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81142 and 81158.

How to find the GCF of 81142 and 81158?

We will first find the prime factorization of 81142 and 81158. After we will calculate the factors of 81142 and 81158 and find the biggest common factor number .

Step-1: Prime Factorization of 81142

Prime factors of 81142 are 2, 29, 1399. Prime factorization of 81142 in exponential form is:

81142 = 2¹ × 29¹ × 1399¹

Step-2: Prime Factorization of 81158

Prime factors of 81158 are 2, 7, 11, 17, 31. Prime factorization of 81158 in exponential form is:

81158 = 2¹ × 7¹ × 11¹ × 17¹ × 31¹

Step-3: Factors of 81142

List of positive integer factors of 81142 that divides 81142 without a remainder.

1, 2, 29, 58, 1399, 2798, 40571

Step-4: Factors of 81158

List of positive integer factors of 81158 that divides 81142 without a remainder.

1, 2, 7, 11, 14, 17, 22, 31, 34, 62, 77, 119, 154, 187, 217, 238, 341, 374, 434, 527, 682, 1054, 1309, 2387, 2618, 3689, 4774, 5797, 7378, 11594, 40579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81142 and 81158. The biggest common factor number is the GCF number.
So the greatest common factor 81142 and 81158 is 2.

Also check out the Least Common Multiple of 81142 and 81158