What is the Greatest Common Factor of 97350 and 97365?

Greatest common factor (GCF) of 97350 and 97365 is 15.

GCF(97350,97365) = 15

We will now calculate the prime factors of 97350 and 97365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97350 and 97365.

How to find the GCF of 97350 and 97365?

We will first find the prime factorization of 97350 and 97365. After we will calculate the factors of 97350 and 97365 and find the biggest common factor number .

Step-1: Prime Factorization of 97350

Prime factors of 97350 are 2, 3, 5, 11, 59. Prime factorization of 97350 in exponential form is:

97350 = 2¹ × 3¹ × 5² × 11¹ × 59¹

Step-2: Prime Factorization of 97365

Prime factors of 97365 are 3, 5, 6491. Prime factorization of 97365 in exponential form is:

97365 = 3¹ × 5¹ × 6491¹

Step-3: Factors of 97350

List of positive integer factors of 97350 that divides 97350 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 59, 66, 75, 110, 118, 150, 165, 177, 275, 295, 330, 354, 550, 590, 649, 825, 885, 1298, 1475, 1650, 1770, 1947, 2950, 3245, 3894, 4425, 6490, 8850, 9735, 16225, 19470, 32450, 48675

Step-4: Factors of 97365

List of positive integer factors of 97365 that divides 97350 without a remainder.

1, 3, 5, 15, 6491, 19473, 32455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97350 and 97365. The biggest common factor number is the GCF number.
So the greatest common factor 97350 and 97365 is 15.

Also check out the Least Common Multiple of 97350 and 97365