What is the Greatest Common Factor of 98584 and 98604?

Greatest common factor (GCF) of 98584 and 98604 is 4.

GCF(98584,98604) = 4

We will now calculate the prime factors of 98584 and 98604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98584 and 98604.

How to find the GCF of 98584 and 98604?

We will first find the prime factorization of 98584 and 98604. After we will calculate the factors of 98584 and 98604 and find the biggest common factor number .

Step-1: Prime Factorization of 98584

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

98584 = 2³ × 12323¹

Step-2: Prime Factorization of 98604

Prime factors of 98604 are 2, 3, 11, 83. Prime factorization of 98604 in exponential form is:

98604 = 2² × 3³ × 11¹ × 83¹

Step-3: Factors of 98584

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

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

Step-4: Factors of 98604

List of positive integer factors of 98604 that divides 98584 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 83, 99, 108, 132, 166, 198, 249, 297, 332, 396, 498, 594, 747, 913, 996, 1188, 1494, 1826, 2241, 2739, 2988, 3652, 4482, 5478, 8217, 8964, 10956, 16434, 24651, 32868, 49302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98584 and 98604. The biggest common factor number is the GCF number.
So the greatest common factor 98584 and 98604 is 4.

Also check out the Least Common Multiple of 98584 and 98604