What is the Greatest Common Factor of 98175 and 98192?

Greatest common factor (GCF) of 98175 and 98192 is 17.

GCF(98175,98192) = 17

We will now calculate the prime factors of 98175 and 98192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98175 and 98192.

How to find the GCF of 98175 and 98192?

We will first find the prime factorization of 98175 and 98192. After we will calculate the factors of 98175 and 98192 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 98192

Prime factors of 98192 are 2, 17, 19. Prime factorization of 98192 in exponential form is:

98192 = 2⁴ × 17¹ × 19²

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 98192

List of positive integer factors of 98192 that divides 98175 without a remainder.

1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 361, 646, 722, 1292, 1444, 2584, 2888, 5168, 5776, 6137, 12274, 24548, 49096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98175 and 98192. The biggest common factor number is the GCF number.
So the greatest common factor 98175 and 98192 is 17.

Also check out the Least Common Multiple of 98175 and 98192