What is the Greatest Common Factor of 97375 and 97380?

Greatest common factor (GCF) of 97375 and 97380 is 5.

GCF(97375,97380) = 5

We will now calculate the prime factors of 97375 and 97380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97375 and 97380.

How to find the GCF of 97375 and 97380?

We will first find the prime factorization of 97375 and 97380. After we will calculate the factors of 97375 and 97380 and find the biggest common factor number .

Step-1: Prime Factorization of 97375

Prime factors of 97375 are 5, 19, 41. Prime factorization of 97375 in exponential form is:

97375 = 5³ × 19¹ × 41¹

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 97375

List of positive integer factors of 97375 that divides 97375 without a remainder.

1, 5, 19, 25, 41, 95, 125, 205, 475, 779, 1025, 2375, 3895, 5125, 19475

Step-4: Factors of 97380

List of positive integer factors of 97380 that divides 97375 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 97375 and 97380. The biggest common factor number is the GCF number.
So the greatest common factor 97375 and 97380 is 5.

Also check out the Least Common Multiple of 97375 and 97380