What is the Greatest Common Factor of 97365 and 97380?

Greatest common factor (GCF) of 97365 and 97380 is 15.

GCF(97365,97380) = 15

We will now calculate the prime factors of 97365 and 97380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97365 and 97380.

How to find the GCF of 97365 and 97380?

We will first find the prime factorization of 97365 and 97380. After we will calculate the factors of 97365 and 97380 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97380

Prime factors of 97380 are 2, 3, 5, 541. Prime factorization of 97380 in exponential form is:

97380 = 2² × 3² × 5¹ × 541¹

Step-3: Factors of 97365

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

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

Step-4: Factors of 97380

List of positive integer factors of 97380 that divides 97365 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 541, 1082, 1623, 2164, 2705, 3246, 4869, 5410, 6492, 8115, 9738, 10820, 16230, 19476, 24345, 32460, 48690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97365 and 97380. The biggest common factor number is the GCF number.
So the greatest common factor 97365 and 97380 is 15.

Also check out the Least Common Multiple of 97365 and 97380