What is the Greatest Common Factor of 98625 and 98645?

Greatest common factor (GCF) of 98625 and 98645 is 5.

GCF(98625,98645) = 5

We will now calculate the prime factors of 98625 and 98645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98625 and 98645.

How to find the GCF of 98625 and 98645?

We will first find the prime factorization of 98625 and 98645. After we will calculate the factors of 98625 and 98645 and find the biggest common factor number .

Step-1: Prime Factorization of 98625

Prime factors of 98625 are 3, 5, 263. Prime factorization of 98625 in exponential form is:

98625 = 3¹ × 5³ × 263¹

Step-2: Prime Factorization of 98645

Prime factors of 98645 are 5, 109, 181. Prime factorization of 98645 in exponential form is:

98645 = 5¹ × 109¹ × 181¹

Step-3: Factors of 98625

List of positive integer factors of 98625 that divides 98625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 263, 375, 789, 1315, 3945, 6575, 19725, 32875

Step-4: Factors of 98645

List of positive integer factors of 98645 that divides 98625 without a remainder.

1, 5, 109, 181, 545, 905, 19729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98625 and 98645. The biggest common factor number is the GCF number.
So the greatest common factor 98625 and 98645 is 5.

Also check out the Least Common Multiple of 98625 and 98645