What is the Greatest Common Factor of 98376 and 98394?

Greatest common factor (GCF) of 98376 and 98394 is 6.

GCF(98376,98394) = 6

We will now calculate the prime factors of 98376 and 98394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98376 and 98394.

How to find the GCF of 98376 and 98394?

We will first find the prime factorization of 98376 and 98394. After we will calculate the factors of 98376 and 98394 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 98394

Prime factors of 98394 are 2, 3, 23, 31. Prime factorization of 98394 in exponential form is:

98394 = 2¹ × 3¹ × 23² × 31¹

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 98394

List of positive integer factors of 98394 that divides 98376 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 529, 713, 1058, 1426, 1587, 2139, 3174, 4278, 16399, 32798, 49197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98376 and 98394. The biggest common factor number is the GCF number.
So the greatest common factor 98376 and 98394 is 6.

Also check out the Least Common Multiple of 98376 and 98394