What is the Greatest Common Factor of 98140 and 98154?

Greatest common factor (GCF) of 98140 and 98154 is 14.

GCF(98140,98154) = 14

We will now calculate the prime factors of 98140 and 98154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98140 and 98154.

How to find the GCF of 98140 and 98154?

We will first find the prime factorization of 98140 and 98154. After we will calculate the factors of 98140 and 98154 and find the biggest common factor number .

Step-1: Prime Factorization of 98140

Prime factors of 98140 are 2, 5, 7, 701. Prime factorization of 98140 in exponential form is:

98140 = 2² × 5¹ × 7¹ × 701¹

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 98140

List of positive integer factors of 98140 that divides 98140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 701, 1402, 2804, 3505, 4907, 7010, 9814, 14020, 19628, 24535, 49070

Step-4: Factors of 98154

List of positive integer factors of 98154 that divides 98140 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 98140 and 98154. The biggest common factor number is the GCF number.
So the greatest common factor 98140 and 98154 is 14.

Also check out the Least Common Multiple of 98140 and 98154