What is the Greatest Common Factor of 81508 and 81525?

Greatest common factor (GCF) of 81508 and 81525 is 1.

GCF(81508,81525) = 1

We will now calculate the prime factors of 81508 and 81525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81508 and 81525.

How to find the GCF of 81508 and 81525?

We will first find the prime factorization of 81508 and 81525. After we will calculate the factors of 81508 and 81525 and find the biggest common factor number .

Step-1: Prime Factorization of 81508

Prime factors of 81508 are 2, 7, 41, 71. Prime factorization of 81508 in exponential form is:

81508 = 2² × 7¹ × 41¹ × 71¹

Step-2: 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-3: Factors of 81508

List of positive integer factors of 81508 that divides 81508 without a remainder.

1, 2, 4, 7, 14, 28, 41, 71, 82, 142, 164, 284, 287, 497, 574, 994, 1148, 1988, 2911, 5822, 11644, 20377, 40754

Step-4: Factors of 81525

List of positive integer factors of 81525 that divides 81508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81508 and 81525. The biggest common factor number is the GCF number.
So the greatest common factor 81508 and 81525 is 1.

Also check out the Least Common Multiple of 81508 and 81525