What is the Greatest Common Factor of 99525 and 99534?

Greatest common factor (GCF) of 99525 and 99534 is 3.

GCF(99525,99534) = 3

We will now calculate the prime factors of 99525 and 99534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99525 and 99534.

How to find the GCF of 99525 and 99534?

We will first find the prime factorization of 99525 and 99534. After we will calculate the factors of 99525 and 99534 and find the biggest common factor number .

Step-1: Prime Factorization of 99525

Prime factors of 99525 are 3, 5, 1327. Prime factorization of 99525 in exponential form is:

99525 = 3¹ × 5² × 1327¹

Step-2: Prime Factorization of 99534

Prime factors of 99534 are 2, 3, 53, 313. Prime factorization of 99534 in exponential form is:

99534 = 2¹ × 3¹ × 53¹ × 313¹

Step-3: Factors of 99525

List of positive integer factors of 99525 that divides 99525 without a remainder.

1, 3, 5, 15, 25, 75, 1327, 3981, 6635, 19905, 33175

Step-4: Factors of 99534

List of positive integer factors of 99534 that divides 99525 without a remainder.

1, 2, 3, 6, 53, 106, 159, 313, 318, 626, 939, 1878, 16589, 33178, 49767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99525 and 99534. The biggest common factor number is the GCF number.
So the greatest common factor 99525 and 99534 is 3.

Also check out the Least Common Multiple of 99525 and 99534