What is the Greatest Common Factor of 98805 and 98820?

Greatest common factor (GCF) of 98805 and 98820 is 15.

GCF(98805,98820) = 15

We will now calculate the prime factors of 98805 and 98820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98805 and 98820.

How to find the GCF of 98805 and 98820?

We will first find the prime factorization of 98805 and 98820. After we will calculate the factors of 98805 and 98820 and find the biggest common factor number .

Step-1: Prime Factorization of 98805

Prime factors of 98805 are 3, 5, 7, 941. Prime factorization of 98805 in exponential form is:

98805 = 3¹ × 5¹ × 7¹ × 941¹

Step-2: 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-3: Factors of 98805

List of positive integer factors of 98805 that divides 98805 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 941, 2823, 4705, 6587, 14115, 19761, 32935

Step-4: Factors of 98820

List of positive integer factors of 98820 that divides 98805 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98805 and 98820. The biggest common factor number is the GCF number.
So the greatest common factor 98805 and 98820 is 15.

Also check out the Least Common Multiple of 98805 and 98820