What is the Greatest Common Factor of 98196 and 98208?

Greatest common factor (GCF) of 98196 and 98208 is 12.

GCF(98196,98208) = 12

We will now calculate the prime factors of 98196 and 98208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98196 and 98208.

How to find the GCF of 98196 and 98208?

We will first find the prime factorization of 98196 and 98208. After we will calculate the factors of 98196 and 98208 and find the biggest common factor number .

Step-1: Prime Factorization of 98196

Prime factors of 98196 are 2, 3, 7, 167. Prime factorization of 98196 in exponential form is:

98196 = 2² × 3¹ × 7² × 167¹

Step-2: Prime Factorization of 98208

Prime factors of 98208 are 2, 3, 11, 31. Prime factorization of 98208 in exponential form is:

98208 = 2⁵ × 3² × 11¹ × 31¹

Step-3: Factors of 98196

List of positive integer factors of 98196 that divides 98196 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 167, 196, 294, 334, 501, 588, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014, 8183, 14028, 16366, 24549, 32732, 49098

Step-4: Factors of 98208

List of positive integer factors of 98208 that divides 98196 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 32, 33, 36, 44, 48, 62, 66, 72, 88, 93, 96, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 288, 341, 352, 372, 396, 496, 528, 558, 682, 744, 792, 992, 1023, 1056, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 2976, 3069, 3168, 4092, 4464, 5456, 6138, 8184, 8928, 10912, 12276, 16368, 24552, 32736, 49104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98196 and 98208. The biggest common factor number is the GCF number.
So the greatest common factor 98196 and 98208 is 12.

Also check out the Least Common Multiple of 98196 and 98208