What is the Greatest Common Factor of 98135 and 98154?

Greatest common factor (GCF) of 98135 and 98154 is 19.

GCF(98135,98154) = 19

We will now calculate the prime factors of 98135 and 98154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98135 and 98154.

How to find the GCF of 98135 and 98154?

We will first find the prime factorization of 98135 and 98154. After we will calculate the factors of 98135 and 98154 and find the biggest common factor number .

Step-1: Prime Factorization of 98135

Prime factors of 98135 are 5, 19, 1033. Prime factorization of 98135 in exponential form is:

98135 = 5¹ × 19¹ × 1033¹

Step-2: 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-3: Factors of 98135

List of positive integer factors of 98135 that divides 98135 without a remainder.

1, 5, 19, 95, 1033, 5165, 19627

Step-4: Factors of 98154

List of positive integer factors of 98154 that divides 98135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98135 and 98154. The biggest common factor number is the GCF number.
So the greatest common factor 98135 and 98154 is 19.

Also check out the Least Common Multiple of 98135 and 98154