What is the Greatest Common Factor of 98375 and 98395?

Greatest common factor (GCF) of 98375 and 98395 is 5.

GCF(98375,98395) = 5

We will now calculate the prime factors of 98375 and 98395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98375 and 98395.

How to find the GCF of 98375 and 98395?

We will first find the prime factorization of 98375 and 98395. After we will calculate the factors of 98375 and 98395 and find the biggest common factor number .

Step-1: Prime Factorization of 98375

Prime factors of 98375 are 5, 787. Prime factorization of 98375 in exponential form is:

98375 = 5³ × 787¹

Step-2: Prime Factorization of 98395

Prime factors of 98395 are 5, 11, 1789. Prime factorization of 98395 in exponential form is:

98395 = 5¹ × 11¹ × 1789¹

Step-3: Factors of 98375

List of positive integer factors of 98375 that divides 98375 without a remainder.

1, 5, 25, 125, 787, 3935, 19675

Step-4: Factors of 98395

List of positive integer factors of 98395 that divides 98375 without a remainder.

1, 5, 11, 55, 1789, 8945, 19679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98375 and 98395. The biggest common factor number is the GCF number.
So the greatest common factor 98375 and 98395 is 5.

Also check out the Least Common Multiple of 98375 and 98395