What is the Greatest Common Factor of 98189 and 98208?

Greatest common factor (GCF) of 98189 and 98208 is 1.

GCF(98189,98208) = 1

We will now calculate the prime factors of 98189 and 98208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98189 and 98208.

How to find the GCF of 98189 and 98208?

We will first find the prime factorization of 98189 and 98208. After we will calculate the factors of 98189 and 98208 and find the biggest common factor number .

Step-1: Prime Factorization of 98189

Prime factors of 98189 are 7, 13, 83. Prime factorization of 98189 in exponential form is:

98189 = 7¹ × 13² × 83¹

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 98189

List of positive integer factors of 98189 that divides 98189 without a remainder.

1, 7, 13, 83, 91, 169, 581, 1079, 1183, 7553, 14027

Step-4: Factors of 98208

List of positive integer factors of 98208 that divides 98189 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 98189 and 98208. The biggest common factor number is the GCF number.
So the greatest common factor 98189 and 98208 is 1.

Also check out the Least Common Multiple of 98189 and 98208