What is the Greatest Common Factor of 97380 and 97399?

Greatest common factor (GCF) of 97380 and 97399 is 1.

GCF(97380,97399) = 1

We will now calculate the prime factors of 97380 and 97399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97380 and 97399.

How to find the GCF of 97380 and 97399?

We will first find the prime factorization of 97380 and 97399. After we will calculate the factors of 97380 and 97399 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 97399

Prime factors of 97399 are 173, 563. Prime factorization of 97399 in exponential form is:

97399 = 173¹ × 563¹

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 97399

List of positive integer factors of 97399 that divides 97380 without a remainder.

1, 173, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97380 and 97399. The biggest common factor number is the GCF number.
So the greatest common factor 97380 and 97399 is 1.

Also check out the Least Common Multiple of 97380 and 97399