What is the Greatest Common Factor of 81136 and 81147?

Greatest common factor (GCF) of 81136 and 81147 is 11.

GCF(81136,81147) = 11

We will now calculate the prime factors of 81136 and 81147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81136 and 81147.

How to find the GCF of 81136 and 81147?

We will first find the prime factorization of 81136 and 81147. After we will calculate the factors of 81136 and 81147 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 81147

Prime factors of 81147 are 3, 11, 2459. Prime factorization of 81147 in exponential form is:

81147 = 3¹ × 11¹ × 2459¹

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 81147

List of positive integer factors of 81147 that divides 81136 without a remainder.

1, 3, 11, 33, 2459, 7377, 27049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81136 and 81147. The biggest common factor number is the GCF number.
So the greatest common factor 81136 and 81147 is 11.

Also check out the Least Common Multiple of 81136 and 81147