What is the Greatest Common Factor of 97560 and 97575?

Greatest common factor (GCF) of 97560 and 97575 is 15.

GCF(97560,97575) = 15

We will now calculate the prime factors of 97560 and 97575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97560 and 97575.

How to find the GCF of 97560 and 97575?

We will first find the prime factorization of 97560 and 97575. After we will calculate the factors of 97560 and 97575 and find the biggest common factor number .

Step-1: Prime Factorization of 97560

Prime factors of 97560 are 2, 3, 5, 271. Prime factorization of 97560 in exponential form is:

97560 = 2³ × 3² × 5¹ × 271¹

Step-2: 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-3: Factors of 97560

List of positive integer factors of 97560 that divides 97560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 271, 360, 542, 813, 1084, 1355, 1626, 2168, 2439, 2710, 3252, 4065, 4878, 5420, 6504, 8130, 9756, 10840, 12195, 16260, 19512, 24390, 32520, 48780

Step-4: Factors of 97575

List of positive integer factors of 97575 that divides 97560 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97560 and 97575. The biggest common factor number is the GCF number.
So the greatest common factor 97560 and 97575 is 15.

Also check out the Least Common Multiple of 97560 and 97575