What is the Greatest Common Factor of 98625 and 98630?

Greatest common factor (GCF) of 98625 and 98630 is 5.

GCF(98625,98630) = 5

We will now calculate the prime factors of 98625 and 98630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98625 and 98630.

How to find the GCF of 98625 and 98630?

We will first find the prime factorization of 98625 and 98630. After we will calculate the factors of 98625 and 98630 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 98630

Prime factors of 98630 are 2, 5, 7, 1409. Prime factorization of 98630 in exponential form is:

98630 = 2¹ × 5¹ × 7¹ × 1409¹

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 98630

List of positive integer factors of 98630 that divides 98625 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1409, 2818, 7045, 9863, 14090, 19726, 49315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98625 and 98630. The biggest common factor number is the GCF number.
So the greatest common factor 98625 and 98630 is 5.

Also check out the Least Common Multiple of 98625 and 98630