What is the Greatest Common Factor of 81125 and 81136?

Greatest common factor (GCF) of 81125 and 81136 is 11.

GCF(81125,81136) = 11

We will now calculate the prime factors of 81125 and 81136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81125 and 81136.

How to find the GCF of 81125 and 81136?

We will first find the prime factorization of 81125 and 81136. After we will calculate the factors of 81125 and 81136 and find the biggest common factor number .

Step-1: Prime Factorization of 81125

Prime factors of 81125 are 5, 11, 59. Prime factorization of 81125 in exponential form is:

81125 = 5³ × 11¹ × 59¹

Step-2: 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-3: Factors of 81125

List of positive integer factors of 81125 that divides 81125 without a remainder.

1, 5, 11, 25, 55, 59, 125, 275, 295, 649, 1375, 1475, 3245, 7375, 16225

Step-4: Factors of 81136

List of positive integer factors of 81136 that divides 81125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81125 and 81136. The biggest common factor number is the GCF number.
So the greatest common factor 81125 and 81136 is 11.

Also check out the Least Common Multiple of 81125 and 81136