What is the Greatest Common Factor of 98125 and 98145?

Greatest common factor (GCF) of 98125 and 98145 is 5.

GCF(98125,98145) = 5

We will now calculate the prime factors of 98125 and 98145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98125 and 98145.

How to find the GCF of 98125 and 98145?

We will first find the prime factorization of 98125 and 98145. After we will calculate the factors of 98125 and 98145 and find the biggest common factor number .

Step-1: Prime Factorization of 98125

Prime factors of 98125 are 5, 157. Prime factorization of 98125 in exponential form is:

98125 = 5⁴ × 157¹

Step-2: 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-3: Factors of 98125

List of positive integer factors of 98125 that divides 98125 without a remainder.

1, 5, 25, 125, 157, 625, 785, 3925, 19625

Step-4: Factors of 98145

List of positive integer factors of 98145 that divides 98125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98125 and 98145. The biggest common factor number is the GCF number.
So the greatest common factor 98125 and 98145 is 5.

Also check out the Least Common Multiple of 98125 and 98145