What is the Greatest Common Factor of 98820 and 98835?

Greatest common factor (GCF) of 98820 and 98835 is 15.

GCF(98820,98835) = 15

We will now calculate the prime factors of 98820 and 98835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98820 and 98835.

How to find the GCF of 98820 and 98835?

We will first find the prime factorization of 98820 and 98835. After we will calculate the factors of 98820 and 98835 and find the biggest common factor number .

Step-1: Prime Factorization of 98820

Prime factors of 98820 are 2, 3, 5, 61. Prime factorization of 98820 in exponential form is:

98820 = 2² × 3⁴ × 5¹ × 61¹

Step-2: Prime Factorization of 98835

Prime factors of 98835 are 3, 5, 11, 599. Prime factorization of 98835 in exponential form is:

98835 = 3¹ × 5¹ × 11¹ × 599¹

Step-3: Factors of 98820

List of positive integer factors of 98820 that divides 98820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 81, 90, 108, 122, 135, 162, 180, 183, 244, 270, 305, 324, 366, 405, 540, 549, 610, 732, 810, 915, 1098, 1220, 1620, 1647, 1830, 2196, 2745, 3294, 3660, 4941, 5490, 6588, 8235, 9882, 10980, 16470, 19764, 24705, 32940, 49410

Step-4: Factors of 98835

List of positive integer factors of 98835 that divides 98820 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 599, 1797, 2995, 6589, 8985, 19767, 32945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98820 and 98835. The biggest common factor number is the GCF number.
So the greatest common factor 98820 and 98835 is 15.

Also check out the Least Common Multiple of 98820 and 98835