What is the Greatest Common Factor of 98336 and 98354?

Greatest common factor (GCF) of 98336 and 98354 is 2.

GCF(98336,98354) = 2

We will now calculate the prime factors of 98336 and 98354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98336 and 98354.

How to find the GCF of 98336 and 98354?

We will first find the prime factorization of 98336 and 98354. After we will calculate the factors of 98336 and 98354 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 98354

Prime factors of 98354 are 2, 49177. Prime factorization of 98354 in exponential form is:

98354 = 2¹ × 49177¹

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 98354

List of positive integer factors of 98354 that divides 98336 without a remainder.

1, 2, 49177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98336 and 98354. The biggest common factor number is the GCF number.
So the greatest common factor 98336 and 98354 is 2.

Also check out the Least Common Multiple of 98336 and 98354