What is the Greatest Common Factor of 98494 and 98505?

Greatest common factor (GCF) of 98494 and 98505 is 11.

GCF(98494,98505) = 11

We will now calculate the prime factors of 98494 and 98505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98494 and 98505.

How to find the GCF of 98494 and 98505?

We will first find the prime factorization of 98494 and 98505. After we will calculate the factors of 98494 and 98505 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 98505

Prime factors of 98505 are 3, 5, 11, 199. Prime factorization of 98505 in exponential form is:

98505 = 3² × 5¹ × 11¹ × 199¹

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 98505

List of positive integer factors of 98505 that divides 98494 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 199, 495, 597, 995, 1791, 2189, 2985, 6567, 8955, 10945, 19701, 32835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98494 and 98505. The biggest common factor number is the GCF number.
So the greatest common factor 98494 and 98505 is 11.

Also check out the Least Common Multiple of 98494 and 98505