What is the Greatest Common Factor of 98190 and 98210?

Greatest common factor (GCF) of 98190 and 98210 is 10.

GCF(98190,98210) = 10

We will now calculate the prime factors of 98190 and 98210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98190 and 98210.

How to find the GCF of 98190 and 98210?

We will first find the prime factorization of 98190 and 98210. After we will calculate the factors of 98190 and 98210 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 98210

Prime factors of 98210 are 2, 5, 7, 23, 61. Prime factorization of 98210 in exponential form is:

98210 = 2¹ × 5¹ × 7¹ × 23¹ × 61¹

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 98210

List of positive integer factors of 98210 that divides 98190 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 61, 70, 115, 122, 161, 230, 305, 322, 427, 610, 805, 854, 1403, 1610, 2135, 2806, 4270, 7015, 9821, 14030, 19642, 49105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98190 and 98210. The biggest common factor number is the GCF number.
So the greatest common factor 98190 and 98210 is 10.

Also check out the Least Common Multiple of 98190 and 98210