What is the Greatest Common Factor of 97395 and 97400?

Greatest common factor (GCF) of 97395 and 97400 is 5.

GCF(97395,97400) = 5

We will now calculate the prime factors of 97395 and 97400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97395 and 97400.

How to find the GCF of 97395 and 97400?

We will first find the prime factorization of 97395 and 97400. After we will calculate the factors of 97395 and 97400 and find the biggest common factor number .

Step-1: Prime Factorization of 97395

Prime factors of 97395 are 3, 5, 43, 151. Prime factorization of 97395 in exponential form is:

97395 = 3¹ × 5¹ × 43¹ × 151¹

Step-2: Prime Factorization of 97400

Prime factors of 97400 are 2, 5, 487. Prime factorization of 97400 in exponential form is:

97400 = 2³ × 5² × 487¹

Step-3: Factors of 97395

List of positive integer factors of 97395 that divides 97395 without a remainder.

1, 3, 5, 15, 43, 129, 151, 215, 453, 645, 755, 2265, 6493, 19479, 32465

Step-4: Factors of 97400

List of positive integer factors of 97400 that divides 97395 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435, 3896, 4870, 9740, 12175, 19480, 24350, 48700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97395 and 97400. The biggest common factor number is the GCF number.
So the greatest common factor 97395 and 97400 is 5.

Also check out the Least Common Multiple of 97395 and 97400