What is the Greatest Common Factor of 98336 and 98350?

Greatest common factor (GCF) of 98336 and 98350 is 14.

GCF(98336,98350) = 14

We will now calculate the prime factors of 98336 and 98350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98336 and 98350.

How to find the GCF of 98336 and 98350?

We will first find the prime factorization of 98336 and 98350. After we will calculate the factors of 98336 and 98350 and find the biggest common factor number .

Step-1: Prime Factorization of 98336

Prime factors of 98336 are 2, 7, 439. Prime factorization of 98336 in exponential form is:

98336 = 2⁵ × 7¹ × 439¹

Step-2: Prime Factorization of 98350

Prime factors of 98350 are 2, 5, 7, 281. Prime factorization of 98350 in exponential form is:

98350 = 2¹ × 5² × 7¹ × 281¹

Step-3: Factors of 98336

List of positive integer factors of 98336 that divides 98336 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 14048, 24584, 49168

Step-4: Factors of 98350

List of positive integer factors of 98350 that divides 98336 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 281, 350, 562, 1405, 1967, 2810, 3934, 7025, 9835, 14050, 19670, 49175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98336 and 98350. The biggest common factor number is the GCF number.
So the greatest common factor 98336 and 98350 is 14.

Also check out the Least Common Multiple of 98336 and 98350