What is the Greatest Common Factor of 98175 and 98186?

Greatest common factor (GCF) of 98175 and 98186 is 11.

GCF(98175,98186) = 11

We will now calculate the prime factors of 98175 and 98186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98175 and 98186.

How to find the GCF of 98175 and 98186?

We will first find the prime factorization of 98175 and 98186. After we will calculate the factors of 98175 and 98186 and find the biggest common factor number .

Step-1: Prime Factorization of 98175

Prime factors of 98175 are 3, 5, 7, 11, 17. Prime factorization of 98175 in exponential form is:

98175 = 3¹ × 5² × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 98186

Prime factors of 98186 are 2, 11, 4463. Prime factorization of 98186 in exponential form is:

98186 = 2¹ × 11¹ × 4463¹

Step-3: Factors of 98175

List of positive integer factors of 98175 that divides 98175 without a remainder.

1, 3, 5, 7, 11, 15, 17, 21, 25, 33, 35, 51, 55, 75, 77, 85, 105, 119, 165, 175, 187, 231, 255, 275, 357, 385, 425, 525, 561, 595, 825, 935, 1155, 1275, 1309, 1785, 1925, 2805, 2975, 3927, 4675, 5775, 6545, 8925, 14025, 19635, 32725

Step-4: Factors of 98186

List of positive integer factors of 98186 that divides 98175 without a remainder.

1, 2, 11, 22, 4463, 8926, 49093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98175 and 98186. The biggest common factor number is the GCF number.
So the greatest common factor 98175 and 98186 is 11.

Also check out the Least Common Multiple of 98175 and 98186