What is the Greatest Common Factor of 98378 and 98394?

Greatest common factor (GCF) of 98378 and 98394 is 2.

GCF(98378,98394) = 2

We will now calculate the prime factors of 98378 and 98394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98378 and 98394.

How to find the GCF of 98378 and 98394?

We will first find the prime factorization of 98378 and 98394. After we will calculate the factors of 98378 and 98394 and find the biggest common factor number .

Step-1: Prime Factorization of 98378

Prime factors of 98378 are 2, 7, 7027. Prime factorization of 98378 in exponential form is:

98378 = 2¹ × 7¹ × 7027¹

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 98378

List of positive integer factors of 98378 that divides 98378 without a remainder.

1, 2, 7, 14, 7027, 14054, 49189

Step-4: Factors of 98394

List of positive integer factors of 98394 that divides 98378 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 98378 and 98394. The biggest common factor number is the GCF number.
So the greatest common factor 98378 and 98394 is 2.

Also check out the Least Common Multiple of 98378 and 98394