What is the Greatest Common Factor of 97575 and 97584?

Greatest common factor (GCF) of 97575 and 97584 is 3.

GCF(97575,97584) = 3

We will now calculate the prime factors of 97575 and 97584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97575 and 97584.

How to find the GCF of 97575 and 97584?

We will first find the prime factorization of 97575 and 97584. After we will calculate the factors of 97575 and 97584 and find the biggest common factor number .

Step-1: Prime Factorization of 97575

Prime factors of 97575 are 3, 5, 1301. Prime factorization of 97575 in exponential form is:

97575 = 3¹ × 5² × 1301¹

Step-2: Prime Factorization of 97584

Prime factors of 97584 are 2, 3, 19, 107. Prime factorization of 97584 in exponential form is:

97584 = 2⁴ × 3¹ × 19¹ × 107¹

Step-3: Factors of 97575

List of positive integer factors of 97575 that divides 97575 without a remainder.

1, 3, 5, 15, 25, 75, 1301, 3903, 6505, 19515, 32525

Step-4: Factors of 97584

List of positive integer factors of 97584 that divides 97575 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 107, 114, 152, 214, 228, 304, 321, 428, 456, 642, 856, 912, 1284, 1712, 2033, 2568, 4066, 5136, 6099, 8132, 12198, 16264, 24396, 32528, 48792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97575 and 97584. The biggest common factor number is the GCF number.
So the greatest common factor 97575 and 97584 is 3.

Also check out the Least Common Multiple of 97575 and 97584