What is the Greatest Common Factor of 98625 and 98640?

Greatest common factor (GCF) of 98625 and 98640 is 15.

GCF(98625,98640) = 15

We will now calculate the prime factors of 98625 and 98640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98625 and 98640.

How to find the GCF of 98625 and 98640?

We will first find the prime factorization of 98625 and 98640. After we will calculate the factors of 98625 and 98640 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 98640

Prime factors of 98640 are 2, 3, 5, 137. Prime factorization of 98640 in exponential form is:

98640 = 2⁴ × 3² × 5¹ × 137¹

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 98640

List of positive integer factors of 98640 that divides 98625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 137, 144, 180, 240, 274, 360, 411, 548, 685, 720, 822, 1096, 1233, 1370, 1644, 2055, 2192, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 6576, 8220, 9864, 10960, 12330, 16440, 19728, 24660, 32880, 49320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98625 and 98640. The biggest common factor number is the GCF number.
So the greatest common factor 98625 and 98640 is 15.

Also check out the Least Common Multiple of 98625 and 98640