What is the Greatest Common Factor of 98046 and 98059?

Greatest common factor (GCF) of 98046 and 98059 is 13.

GCF(98046,98059) = 13

We will now calculate the prime factors of 98046 and 98059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98046 and 98059.

How to find the GCF of 98046 and 98059?

We will first find the prime factorization of 98046 and 98059. After we will calculate the factors of 98046 and 98059 and find the biggest common factor number .

Step-1: Prime Factorization of 98046

Prime factors of 98046 are 2, 3, 13, 419. Prime factorization of 98046 in exponential form is:

98046 = 2¹ × 3² × 13¹ × 419¹

Step-2: Prime Factorization of 98059

Prime factors of 98059 are 13, 19, 397. Prime factorization of 98059 in exponential form is:

98059 = 13¹ × 19¹ × 397¹

Step-3: Factors of 98046

List of positive integer factors of 98046 that divides 98046 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 419, 838, 1257, 2514, 3771, 5447, 7542, 10894, 16341, 32682, 49023

Step-4: Factors of 98059

List of positive integer factors of 98059 that divides 98046 without a remainder.

1, 13, 19, 247, 397, 5161, 7543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98046 and 98059. The biggest common factor number is the GCF number.
So the greatest common factor 98046 and 98059 is 13.

Also check out the Least Common Multiple of 98046 and 98059