What is the Greatest Common Factor of 98160 and 98175?

Greatest common factor (GCF) of 98160 and 98175 is 15.

GCF(98160,98175) = 15

We will now calculate the prime factors of 98160 and 98175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98160 and 98175.

How to find the GCF of 98160 and 98175?

We will first find the prime factorization of 98160 and 98175. After we will calculate the factors of 98160 and 98175 and find the biggest common factor number .

Step-1: Prime Factorization of 98160

Prime factors of 98160 are 2, 3, 5, 409. Prime factorization of 98160 in exponential form is:

98160 = 2⁴ × 3¹ × 5¹ × 409¹

Step-2: 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-3: Factors of 98160

List of positive integer factors of 98160 that divides 98160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 6544, 8180, 9816, 12270, 16360, 19632, 24540, 32720, 49080

Step-4: Factors of 98175

List of positive integer factors of 98175 that divides 98160 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98160 and 98175. The biggest common factor number is the GCF number.
So the greatest common factor 98160 and 98175 is 15.

Also check out the Least Common Multiple of 98160 and 98175