What is the Greatest Common Factor of 98376 and 98385?

Greatest common factor (GCF) of 98376 and 98385 is 3.

GCF(98376,98385) = 3

We will now calculate the prime factors of 98376 and 98385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98376 and 98385.

How to find the GCF of 98376 and 98385?

We will first find the prime factorization of 98376 and 98385. After we will calculate the factors of 98376 and 98385 and find the biggest common factor number .

Step-1: Prime Factorization of 98376

Prime factors of 98376 are 2, 3, 4099. Prime factorization of 98376 in exponential form is:

98376 = 2³ × 3¹ × 4099¹

Step-2: Prime Factorization of 98385

Prime factors of 98385 are 3, 5, 7, 937. Prime factorization of 98385 in exponential form is:

98385 = 3¹ × 5¹ × 7¹ × 937¹

Step-3: Factors of 98376

List of positive integer factors of 98376 that divides 98376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4099, 8198, 12297, 16396, 24594, 32792, 49188

Step-4: Factors of 98385

List of positive integer factors of 98385 that divides 98376 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 937, 2811, 4685, 6559, 14055, 19677, 32795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98376 and 98385. The biggest common factor number is the GCF number.
So the greatest common factor 98376 and 98385 is 3.

Also check out the Least Common Multiple of 98376 and 98385