What is the Greatest Common Factor of 98494 and 98513?

Greatest common factor (GCF) of 98494 and 98513 is 1.

GCF(98494,98513) = 1

We will now calculate the prime factors of 98494 and 98513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98494 and 98513.

How to find the GCF of 98494 and 98513?

We will first find the prime factorization of 98494 and 98513. After we will calculate the factors of 98494 and 98513 and find the biggest common factor number .

Step-1: Prime Factorization of 98494

Prime factors of 98494 are 2, 11, 37. Prime factorization of 98494 in exponential form is:

98494 = 2¹ × 11³ × 37¹

Step-2: Prime Factorization of 98513

Prime factors of 98513 are 29, 43, 79. Prime factorization of 98513 in exponential form is:

98513 = 29¹ × 43¹ × 79¹

Step-3: Factors of 98494

List of positive integer factors of 98494 that divides 98494 without a remainder.

1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 1331, 2662, 4477, 8954, 49247

Step-4: Factors of 98513

List of positive integer factors of 98513 that divides 98494 without a remainder.

1, 29, 43, 79, 1247, 2291, 3397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98494 and 98513. The biggest common factor number is the GCF number.
So the greatest common factor 98494 and 98513 is 1.

Also check out the Least Common Multiple of 98494 and 98513