What is the Greatest Common Factor of 98032 and 98046?

Greatest common factor (GCF) of 98032 and 98046 is 2.

GCF(98032,98046) = 2

We will now calculate the prime factors of 98032 and 98046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98032 and 98046.

How to find the GCF of 98032 and 98046?

We will first find the prime factorization of 98032 and 98046. After we will calculate the factors of 98032 and 98046 and find the biggest common factor number .

Step-1: Prime Factorization of 98032

Prime factors of 98032 are 2, 11, 557. Prime factorization of 98032 in exponential form is:

98032 = 2⁴ × 11¹ × 557¹

Step-2: 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-3: Factors of 98032

List of positive integer factors of 98032 that divides 98032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 557, 1114, 2228, 4456, 6127, 8912, 12254, 24508, 49016

Step-4: Factors of 98046

List of positive integer factors of 98046 that divides 98032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98032 and 98046. The biggest common factor number is the GCF number.
So the greatest common factor 98032 and 98046 is 2.

Also check out the Least Common Multiple of 98032 and 98046