What is the Greatest Common Factor of 98406 and 98417?

Greatest common factor (GCF) of 98406 and 98417 is 11.

GCF(98406,98417) = 11

We will now calculate the prime factors of 98406 and 98417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98406 and 98417.

How to find the GCF of 98406 and 98417?

We will first find the prime factorization of 98406 and 98417. After we will calculate the factors of 98406 and 98417 and find the biggest common factor number .

Step-1: Prime Factorization of 98406

Prime factors of 98406 are 2, 3, 7, 11, 71. Prime factorization of 98406 in exponential form is:

98406 = 2¹ × 3² × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 98417

Prime factors of 98417 are 11, 23, 389. Prime factorization of 98417 in exponential form is:

98417 = 11¹ × 23¹ × 389¹

Step-3: Factors of 98406

List of positive integer factors of 98406 that divides 98406 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 71, 77, 99, 126, 142, 154, 198, 213, 231, 426, 462, 497, 639, 693, 781, 994, 1278, 1386, 1491, 1562, 2343, 2982, 4473, 4686, 5467, 7029, 8946, 10934, 14058, 16401, 32802, 49203

Step-4: Factors of 98417

List of positive integer factors of 98417 that divides 98406 without a remainder.

1, 11, 23, 253, 389, 4279, 8947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98406 and 98417. The biggest common factor number is the GCF number.
So the greatest common factor 98406 and 98417 is 11.

Also check out the Least Common Multiple of 98406 and 98417