What is the Greatest Common Factor of 98378 and 98392?

Greatest common factor (GCF) of 98378 and 98392 is 14.

GCF(98378,98392) = 14

We will now calculate the prime factors of 98378 and 98392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98378 and 98392.

How to find the GCF of 98378 and 98392?

We will first find the prime factorization of 98378 and 98392. After we will calculate the factors of 98378 and 98392 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 98392

Prime factors of 98392 are 2, 7, 251. Prime factorization of 98392 in exponential form is:

98392 = 2³ × 7² × 251¹

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 98392

List of positive integer factors of 98392 that divides 98378 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 251, 392, 502, 1004, 1757, 2008, 3514, 7028, 12299, 14056, 24598, 49196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98378 and 98392. The biggest common factor number is the GCF number.
So the greatest common factor 98378 and 98392 is 14.

Also check out the Least Common Multiple of 98378 and 98392