What is the Greatest Common Factor of 98588 and 98604?

Greatest common factor (GCF) of 98588 and 98604 is 4.

GCF(98588,98604) = 4

We will now calculate the prime factors of 98588 and 98604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98588 and 98604.

How to find the GCF of 98588 and 98604?

We will first find the prime factorization of 98588 and 98604. After we will calculate the factors of 98588 and 98604 and find the biggest common factor number .

Step-1: Prime Factorization of 98588

Prime factors of 98588 are 2, 7, 503. Prime factorization of 98588 in exponential form is:

98588 = 2² × 7² × 503¹

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 98588

List of positive integer factors of 98588 that divides 98588 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 503, 1006, 2012, 3521, 7042, 14084, 24647, 49294

Step-4: Factors of 98604

List of positive integer factors of 98604 that divides 98588 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 98588 and 98604. The biggest common factor number is the GCF number.
So the greatest common factor 98588 and 98604 is 4.

Also check out the Least Common Multiple of 98588 and 98604