What is the Greatest Common Factor of 97509 and 97527?

Greatest common factor (GCF) of 97509 and 97527 is 3.

GCF(97509,97527) = 3

We will now calculate the prime factors of 97509 and 97527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97509 and 97527.

How to find the GCF of 97509 and 97527?

We will first find the prime factorization of 97509 and 97527. After we will calculate the factors of 97509 and 97527 and find the biggest common factor number .

Step-1: Prime Factorization of 97509

Prime factors of 97509 are 3, 32503. Prime factorization of 97509 in exponential form is:

97509 = 3¹ × 32503¹

Step-2: Prime Factorization of 97527

Prime factors of 97527 are 3, 19, 29, 59. Prime factorization of 97527 in exponential form is:

97527 = 3¹ × 19¹ × 29¹ × 59¹

Step-3: Factors of 97509

List of positive integer factors of 97509 that divides 97509 without a remainder.

1, 3, 32503

Step-4: Factors of 97527

List of positive integer factors of 97527 that divides 97509 without a remainder.

1, 3, 19, 29, 57, 59, 87, 177, 551, 1121, 1653, 1711, 3363, 5133, 32509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97509 and 97527. The biggest common factor number is the GCF number.
So the greatest common factor 97509 and 97527 is 3.

Also check out the Least Common Multiple of 97509 and 97527