What is the Greatest Common Factor of 98154 and 98172?

Greatest common factor (GCF) of 98154 and 98172 is 18.

GCF(98154,98172) = 18

We will now calculate the prime factors of 98154 and 98172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98154 and 98172.

How to find the GCF of 98154 and 98172?

We will first find the prime factorization of 98154 and 98172. After we will calculate the factors of 98154 and 98172 and find the biggest common factor number .

Step-1: Prime Factorization of 98154

Prime factors of 98154 are 2, 3, 7, 19, 41. Prime factorization of 98154 in exponential form is:

98154 = 2¹ × 3² × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 98172

Prime factors of 98172 are 2, 3, 101. Prime factorization of 98172 in exponential form is:

98172 = 2² × 3⁵ × 101¹

Step-3: Factors of 98154

List of positive integer factors of 98154 that divides 98154 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 41, 42, 57, 63, 82, 114, 123, 126, 133, 171, 246, 266, 287, 342, 369, 399, 574, 738, 779, 798, 861, 1197, 1558, 1722, 2337, 2394, 2583, 4674, 5166, 5453, 7011, 10906, 14022, 16359, 32718, 49077

Step-4: Factors of 98172

List of positive integer factors of 98172 that divides 98154 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 243, 303, 324, 404, 486, 606, 909, 972, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362, 24543, 32724, 49086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98154 and 98172. The biggest common factor number is the GCF number.
So the greatest common factor 98154 and 98172 is 18.

Also check out the Least Common Multiple of 98154 and 98172