What is the Greatest Common Factor of 98145 and 98155?

Greatest common factor (GCF) of 98145 and 98155 is 5.

GCF(98145,98155) = 5

We will now calculate the prime factors of 98145 and 98155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98145 and 98155.

How to find the GCF of 98145 and 98155?

We will first find the prime factorization of 98145 and 98155. After we will calculate the factors of 98145 and 98155 and find the biggest common factor number .

Step-1: Prime Factorization of 98145

Prime factors of 98145 are 3, 5, 727. Prime factorization of 98145 in exponential form is:

98145 = 3³ × 5¹ × 727¹

Step-2: Prime Factorization of 98155

Prime factors of 98155 are 5, 67, 293. Prime factorization of 98155 in exponential form is:

98155 = 5¹ × 67¹ × 293¹

Step-3: Factors of 98145

List of positive integer factors of 98145 that divides 98145 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 727, 2181, 3635, 6543, 10905, 19629, 32715

Step-4: Factors of 98155

List of positive integer factors of 98155 that divides 98145 without a remainder.

1, 5, 67, 293, 335, 1465, 19631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98145 and 98155. The biggest common factor number is the GCF number.
So the greatest common factor 98145 and 98155 is 5.

Also check out the Least Common Multiple of 98145 and 98155