What is the Greatest Common Factor of 98820 and 98825?

Greatest common factor (GCF) of 98820 and 98825 is 5.

GCF(98820,98825) = 5

We will now calculate the prime factors of 98820 and 98825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98820 and 98825.

How to find the GCF of 98820 and 98825?

We will first find the prime factorization of 98820 and 98825. After we will calculate the factors of 98820 and 98825 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 98825

Prime factors of 98825 are 5, 59, 67. Prime factorization of 98825 in exponential form is:

98825 = 5² × 59¹ × 67¹

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 98825

List of positive integer factors of 98825 that divides 98820 without a remainder.

1, 5, 25, 59, 67, 295, 335, 1475, 1675, 3953, 19765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98820 and 98825. The biggest common factor number is the GCF number.
So the greatest common factor 98820 and 98825 is 5.

Also check out the Least Common Multiple of 98820 and 98825