What is the Greatest Common Factor of 97494 and 97509?

Greatest common factor (GCF) of 97494 and 97509 is 3.

GCF(97494,97509) = 3

We will now calculate the prime factors of 97494 and 97509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97494 and 97509.

How to find the GCF of 97494 and 97509?

We will first find the prime factorization of 97494 and 97509. After we will calculate the factors of 97494 and 97509 and find the biggest common factor number .

Step-1: Prime Factorization of 97494

Prime factors of 97494 are 2, 3, 16249. Prime factorization of 97494 in exponential form is:

97494 = 2¹ × 3¹ × 16249¹

Step-2: Prime Factorization of 97509

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

97509 = 3¹ × 32503¹

Step-3: Factors of 97494

List of positive integer factors of 97494 that divides 97494 without a remainder.

1, 2, 3, 6, 16249, 32498, 48747

Step-4: Factors of 97509

List of positive integer factors of 97509 that divides 97494 without a remainder.

1, 3, 32503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97494 and 97509. The biggest common factor number is the GCF number.
So the greatest common factor 97494 and 97509 is 3.

Also check out the Least Common Multiple of 97494 and 97509