What is the Greatest Common Factor of 97500 and 97509?

Greatest common factor (GCF) of 97500 and 97509 is 3.

GCF(97500,97509) = 3

We will now calculate the prime factors of 97500 and 97509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97500 and 97509.

How to find the GCF of 97500 and 97509?

We will first find the prime factorization of 97500 and 97509. After we will calculate the factors of 97500 and 97509 and find the biggest common factor number .

Step-1: Prime Factorization of 97500

Prime factors of 97500 are 2, 3, 5, 13. Prime factorization of 97500 in exponential form is:

97500 = 2² × 3¹ × 5⁴ × 13¹

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 97500

List of positive integer factors of 97500 that divides 97500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 195, 250, 260, 300, 325, 375, 390, 500, 625, 650, 750, 780, 975, 1250, 1300, 1500, 1625, 1875, 1950, 2500, 3250, 3750, 3900, 4875, 6500, 7500, 8125, 9750, 16250, 19500, 24375, 32500, 48750

Step-4: Factors of 97509

List of positive integer factors of 97509 that divides 97500 without a remainder.

1, 3, 32503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97500 and 97509. The biggest common factor number is the GCF number.
So the greatest common factor 97500 and 97509 is 3.

Also check out the Least Common Multiple of 97500 and 97509