What is the Greatest Common Factor of 81136 and 81142?

Greatest common factor (GCF) of 81136 and 81142 is 2.

GCF(81136,81142) = 2

We will now calculate the prime factors of 81136 and 81142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81136 and 81142.

How to find the GCF of 81136 and 81142?

We will first find the prime factorization of 81136 and 81142. After we will calculate the factors of 81136 and 81142 and find the biggest common factor number .

Step-1: Prime Factorization of 81136

Prime factors of 81136 are 2, 11, 461. Prime factorization of 81136 in exponential form is:

81136 = 2⁴ × 11¹ × 461¹

Step-2: 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-3: Factors of 81136

List of positive integer factors of 81136 that divides 81136 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 461, 922, 1844, 3688, 5071, 7376, 10142, 20284, 40568

Step-4: Factors of 81142

List of positive integer factors of 81142 that divides 81136 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81136 and 81142. The biggest common factor number is the GCF number.
So the greatest common factor 81136 and 81142 is 2.

Also check out the Least Common Multiple of 81136 and 81142