What is the Greatest Common Factor of 98604 and 98616?

Greatest common factor (GCF) of 98604 and 98616 is 12.

GCF(98604,98616) = 12

We will now calculate the prime factors of 98604 and 98616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98604 and 98616.

How to find the GCF of 98604 and 98616?

We will first find the prime factorization of 98604 and 98616. After we will calculate the factors of 98604 and 98616 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98616

Prime factors of 98616 are 2, 3, 7, 587. Prime factorization of 98616 in exponential form is:

98616 = 2³ × 3¹ × 7¹ × 587¹

Step-3: Factors of 98604

List of positive integer factors of 98604 that divides 98604 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

Step-4: Factors of 98616

List of positive integer factors of 98616 that divides 98604 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 587, 1174, 1761, 2348, 3522, 4109, 4696, 7044, 8218, 12327, 14088, 16436, 24654, 32872, 49308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98604 and 98616. The biggest common factor number is the GCF number.
So the greatest common factor 98604 and 98616 is 12.

Also check out the Least Common Multiple of 98604 and 98616