What is the Greatest Common Factor of 98580 and 98584?

Greatest common factor (GCF) of 98580 and 98584 is 4.

GCF(98580,98584) = 4

We will now calculate the prime factors of 98580 and 98584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98580 and 98584.

How to find the GCF of 98580 and 98584?

We will first find the prime factorization of 98580 and 98584. After we will calculate the factors of 98580 and 98584 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 98584

Prime factors of 98584 are 2, 12323. Prime factorization of 98584 in exponential form is:

98584 = 2³ × 12323¹

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 98584

List of positive integer factors of 98584 that divides 98580 without a remainder.

1, 2, 4, 8, 12323, 24646, 49292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98580 and 98584. The biggest common factor number is the GCF number.
So the greatest common factor 98580 and 98584 is 4.

Also check out the Least Common Multiple of 98580 and 98584