What is the Greatest Common Factor of 81525 and 81543?

Greatest common factor (GCF) of 81525 and 81543 is 3.

GCF(81525,81543) = 3

We will now calculate the prime factors of 81525 and 81543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81525 and 81543.

How to find the GCF of 81525 and 81543?

We will first find the prime factorization of 81525 and 81543. After we will calculate the factors of 81525 and 81543 and find the biggest common factor number .

Step-1: Prime Factorization of 81525

Prime factors of 81525 are 3, 5, 1087. Prime factorization of 81525 in exponential form is:

81525 = 3¹ × 5² × 1087¹

Step-2: Prime Factorization of 81543

Prime factors of 81543 are 3, 7, 11, 353. Prime factorization of 81543 in exponential form is:

81543 = 3¹ × 7¹ × 11¹ × 353¹

Step-3: Factors of 81525

List of positive integer factors of 81525 that divides 81525 without a remainder.

1, 3, 5, 15, 25, 75, 1087, 3261, 5435, 16305, 27175

Step-4: Factors of 81543

List of positive integer factors of 81543 that divides 81525 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 353, 1059, 2471, 3883, 7413, 11649, 27181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81525 and 81543. The biggest common factor number is the GCF number.
So the greatest common factor 81525 and 81543 is 3.

Also check out the Least Common Multiple of 81525 and 81543