What is the Greatest Common Factor of 98604 and 98622?

Greatest common factor (GCF) of 98604 and 98622 is 18.

GCF(98604,98622) = 18

We will now calculate the prime factors of 98604 and 98622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98604 and 98622.

How to find the GCF of 98604 and 98622?

We will first find the prime factorization of 98604 and 98622. After we will calculate the factors of 98604 and 98622 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 98622

Prime factors of 98622 are 2, 3, 5479. Prime factorization of 98622 in exponential form is:

98622 = 2¹ × 3² × 5479¹

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 98622

List of positive integer factors of 98622 that divides 98604 without a remainder.

1, 2, 3, 6, 9, 18, 5479, 10958, 16437, 32874, 49311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98604 and 98622. The biggest common factor number is the GCF number.
So the greatest common factor 98604 and 98622 is 18.

Also check out the Least Common Multiple of 98604 and 98622