What is the Greatest Common Factor of 97380 and 97397?

Greatest common factor (GCF) of 97380 and 97397 is 1.

GCF(97380,97397) = 1

We will now calculate the prime factors of 97380 and 97397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97380 and 97397.

How to find the GCF of 97380 and 97397?

We will first find the prime factorization of 97380 and 97397. After we will calculate the factors of 97380 and 97397 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97397

Prime factors of 97397 are 97397. Prime factorization of 97397 in exponential form is:

97397 = 97397¹

Step-3: Factors of 97380

List of positive integer factors of 97380 that divides 97380 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

Step-4: Factors of 97397

List of positive integer factors of 97397 that divides 97380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97380 and 97397. The biggest common factor number is the GCF number.
So the greatest common factor 97380 and 97397 is 1.

Also check out the Least Common Multiple of 97380 and 97397