What is the Greatest Common Factor of 98580 and 98585?

Greatest common factor (GCF) of 98580 and 98585 is 5.

GCF(98580,98585) = 5

We will now calculate the prime factors of 98580 and 98585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98580 and 98585.

How to find the GCF of 98580 and 98585?

We will first find the prime factorization of 98580 and 98585. After we will calculate the factors of 98580 and 98585 and find the biggest common factor number .

Step-1: Prime Factorization of 98580

Prime factors of 98580 are 2, 3, 5, 31, 53. Prime factorization of 98580 in exponential form is:

98580 = 2² × 3¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 98585

Prime factors of 98585 are 5, 19717. Prime factorization of 98585 in exponential form is:

98585 = 5¹ × 19717¹

Step-3: Factors of 98580

List of positive integer factors of 98580 that divides 98580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 53, 60, 62, 93, 106, 124, 155, 159, 186, 212, 265, 310, 318, 372, 465, 530, 620, 636, 795, 930, 1060, 1590, 1643, 1860, 3180, 3286, 4929, 6572, 8215, 9858, 16430, 19716, 24645, 32860, 49290

Step-4: Factors of 98585

List of positive integer factors of 98585 that divides 98580 without a remainder.

1, 5, 19717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98580 and 98585. The biggest common factor number is the GCF number.
So the greatest common factor 98580 and 98585 is 5.

Also check out the Least Common Multiple of 98580 and 98585