What is the Greatest Common Factor of 98580 and 98599?

Greatest common factor (GCF) of 98580 and 98599 is 1.

GCF(98580,98599) = 1

We will now calculate the prime factors of 98580 and 98599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98580 and 98599.

How to find the GCF of 98580 and 98599?

We will first find the prime factorization of 98580 and 98599. After we will calculate the factors of 98580 and 98599 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 98599

Prime factors of 98599 are 43, 2293. Prime factorization of 98599 in exponential form is:

98599 = 43¹ × 2293¹

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 98599

List of positive integer factors of 98599 that divides 98580 without a remainder.

1, 43, 2293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98580 and 98599. The biggest common factor number is the GCF number.
So the greatest common factor 98580 and 98599 is 1.

Also check out the Least Common Multiple of 98580 and 98599