What is the Greatest Common Factor of 97545 and 97560?

Greatest common factor (GCF) of 97545 and 97560 is 15.

GCF(97545,97560) = 15

We will now calculate the prime factors of 97545 and 97560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97545 and 97560.

How to find the GCF of 97545 and 97560?

We will first find the prime factorization of 97545 and 97560. After we will calculate the factors of 97545 and 97560 and find the biggest common factor number .

Step-1: Prime Factorization of 97545

Prime factors of 97545 are 3, 5, 7, 929. Prime factorization of 97545 in exponential form is:

97545 = 3¹ × 5¹ × 7¹ × 929¹

Step-2: 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-3: Factors of 97545

List of positive integer factors of 97545 that divides 97545 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 929, 2787, 4645, 6503, 13935, 19509, 32515

Step-4: Factors of 97560

List of positive integer factors of 97560 that divides 97545 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97545 and 97560. The biggest common factor number is the GCF number.
So the greatest common factor 97545 and 97560 is 15.

Also check out the Least Common Multiple of 97545 and 97560