What is the Greatest Common Factor of 81142 and 81162?

Greatest common factor (GCF) of 81142 and 81162 is 2.

GCF(81142,81162) = 2

We will now calculate the prime factors of 81142 and 81162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81142 and 81162.

How to find the GCF of 81142 and 81162?

We will first find the prime factorization of 81142 and 81162. After we will calculate the factors of 81142 and 81162 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 81162

Prime factors of 81162 are 2, 3, 167. Prime factorization of 81162 in exponential form is:

81162 = 2¹ × 3⁵ × 167¹

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 81162

List of positive integer factors of 81162 that divides 81142 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 243, 334, 486, 501, 1002, 1503, 3006, 4509, 9018, 13527, 27054, 40581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81142 and 81162. The biggest common factor number is the GCF number.
So the greatest common factor 81142 and 81162 is 2.

Also check out the Least Common Multiple of 81142 and 81162