What is the Greatest Common Factor of 97350 and 97360?

Greatest common factor (GCF) of 97350 and 97360 is 10.

GCF(97350,97360) = 10

We will now calculate the prime factors of 97350 and 97360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97350 and 97360.

How to find the GCF of 97350 and 97360?

We will first find the prime factorization of 97350 and 97360. After we will calculate the factors of 97350 and 97360 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 97360

Prime factors of 97360 are 2, 5, 1217. Prime factorization of 97360 in exponential form is:

97360 = 2⁴ × 5¹ × 1217¹

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 97360

List of positive integer factors of 97360 that divides 97350 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1217, 2434, 4868, 6085, 9736, 12170, 19472, 24340, 48680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97350 and 97360. The biggest common factor number is the GCF number.
So the greatest common factor 97350 and 97360 is 10.

Also check out the Least Common Multiple of 97350 and 97360