What is the Greatest Common Factor of 98190 and 98208?

Greatest common factor (GCF) of 98190 and 98208 is 18.

GCF(98190,98208) = 18

We will now calculate the prime factors of 98190 and 98208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98190 and 98208.

How to find the GCF of 98190 and 98208?

We will first find the prime factorization of 98190 and 98208. After we will calculate the factors of 98190 and 98208 and find the biggest common factor number .

Step-1: Prime Factorization of 98190

Prime factors of 98190 are 2, 3, 5, 1091. Prime factorization of 98190 in exponential form is:

98190 = 2¹ × 3² × 5¹ × 1091¹

Step-2: Prime Factorization of 98208

Prime factors of 98208 are 2, 3, 11, 31. Prime factorization of 98208 in exponential form is:

98208 = 2⁵ × 3² × 11¹ × 31¹

Step-3: Factors of 98190

List of positive integer factors of 98190 that divides 98190 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1091, 2182, 3273, 5455, 6546, 9819, 10910, 16365, 19638, 32730, 49095

Step-4: Factors of 98208

List of positive integer factors of 98208 that divides 98190 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 32, 33, 36, 44, 48, 62, 66, 72, 88, 93, 96, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 288, 341, 352, 372, 396, 496, 528, 558, 682, 744, 792, 992, 1023, 1056, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 2976, 3069, 3168, 4092, 4464, 5456, 6138, 8184, 8928, 10912, 12276, 16368, 24552, 32736, 49104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98190 and 98208. The biggest common factor number is the GCF number.
So the greatest common factor 98190 and 98208 is 18.

Also check out the Least Common Multiple of 98190 and 98208