What is the Greatest Common Factor of 98566 and 98579?

Greatest common factor (GCF) of 98566 and 98579 is 13.

GCF(98566,98579) = 13

We will now calculate the prime factors of 98566 and 98579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98566 and 98579.

How to find the GCF of 98566 and 98579?

We will first find the prime factorization of 98566 and 98579. After we will calculate the factors of 98566 and 98579 and find the biggest common factor number .

Step-1: Prime Factorization of 98566

Prime factors of 98566 are 2, 13, 17, 223. Prime factorization of 98566 in exponential form is:

98566 = 2¹ × 13¹ × 17¹ × 223¹

Step-2: Prime Factorization of 98579

Prime factors of 98579 are 13, 7583. Prime factorization of 98579 in exponential form is:

98579 = 13¹ × 7583¹

Step-3: Factors of 98566

List of positive integer factors of 98566 that divides 98566 without a remainder.

1, 2, 13, 17, 26, 34, 221, 223, 442, 446, 2899, 3791, 5798, 7582, 49283

Step-4: Factors of 98579

List of positive integer factors of 98579 that divides 98566 without a remainder.

1, 13, 7583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98566 and 98579. The biggest common factor number is the GCF number.
So the greatest common factor 98566 and 98579 is 13.

Also check out the Least Common Multiple of 98566 and 98579