What is the Greatest Common Factor of 98580 and 98600?

Greatest common factor (GCF) of 98580 and 98600 is 20.

GCF(98580,98600) = 20

We will now calculate the prime factors of 98580 and 98600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98580 and 98600.

How to find the GCF of 98580 and 98600?

We will first find the prime factorization of 98580 and 98600. After we will calculate the factors of 98580 and 98600 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 98600

Prime factors of 98600 are 2, 5, 17, 29. Prime factorization of 98600 in exponential form is:

98600 = 2³ × 5² × 17¹ × 29¹

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 98600

List of positive integer factors of 98600 that divides 98580 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 29, 34, 40, 50, 58, 68, 85, 100, 116, 136, 145, 170, 200, 232, 290, 340, 425, 493, 580, 680, 725, 850, 986, 1160, 1450, 1700, 1972, 2465, 2900, 3400, 3944, 4930, 5800, 9860, 12325, 19720, 24650, 49300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98580 and 98600. The biggest common factor number is the GCF number.
So the greatest common factor 98580 and 98600 is 20.

Also check out the Least Common Multiple of 98580 and 98600