What is the Greatest Common Factor of 98154 and 98168?

Greatest common factor (GCF) of 98154 and 98168 is 14.

GCF(98154,98168) = 14

We will now calculate the prime factors of 98154 and 98168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98154 and 98168.

How to find the GCF of 98154 and 98168?

We will first find the prime factorization of 98154 and 98168. After we will calculate the factors of 98154 and 98168 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 98168

Prime factors of 98168 are 2, 7, 1753. Prime factorization of 98168 in exponential form is:

98168 = 2³ × 7¹ × 1753¹

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 98168

List of positive integer factors of 98168 that divides 98154 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1753, 3506, 7012, 12271, 14024, 24542, 49084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98154 and 98168. The biggest common factor number is the GCF number.
So the greatest common factor 98154 and 98168 is 14.

Also check out the Least Common Multiple of 98154 and 98168