What is the Greatest Common Factor of 97485 and 97500?

Greatest common factor (GCF) of 97485 and 97500 is 15.

GCF(97485,97500) = 15

We will now calculate the prime factors of 97485 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97485 and 97500.

How to find the GCF of 97485 and 97500?

We will first find the prime factorization of 97485 and 97500. After we will calculate the factors of 97485 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97485

Prime factors of 97485 are 3, 5, 67, 97. Prime factorization of 97485 in exponential form is:

97485 = 3¹ × 5¹ × 67¹ × 97¹

Step-2: 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-3: Factors of 97485

List of positive integer factors of 97485 that divides 97485 without a remainder.

1, 3, 5, 15, 67, 97, 201, 291, 335, 485, 1005, 1455, 6499, 19497, 32495

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97485 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97485 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97485 and 97500 is 15.

Also check out the Least Common Multiple of 97485 and 97500