What is the Greatest Common Factor of 81125 and 81132?

Greatest common factor (GCF) of 81125 and 81132 is 1.

GCF(81125,81132) = 1

We will now calculate the prime factors of 81125 and 81132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81125 and 81132.

How to find the GCF of 81125 and 81132?

We will first find the prime factorization of 81125 and 81132. After we will calculate the factors of 81125 and 81132 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 81132

Prime factors of 81132 are 2, 3, 6761. Prime factorization of 81132 in exponential form is:

81132 = 2² × 3¹ × 6761¹

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 81132

List of positive integer factors of 81132 that divides 81125 without a remainder.

1, 2, 3, 4, 6, 12, 6761, 13522, 20283, 27044, 40566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81125 and 81132. The biggest common factor number is the GCF number.
So the greatest common factor 81125 and 81132 is 1.

Also check out the Least Common Multiple of 81125 and 81132