What is the Greatest Common Factor of 98208 and 98219?

Greatest common factor (GCF) of 98208 and 98219 is 11.

GCF(98208,98219) = 11

We will now calculate the prime factors of 98208 and 98219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98208 and 98219.

How to find the GCF of 98208 and 98219?

We will first find the prime factorization of 98208 and 98219. After we will calculate the factors of 98208 and 98219 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98219

Prime factors of 98219 are 11, 8929. Prime factorization of 98219 in exponential form is:

98219 = 11¹ × 8929¹

Step-3: Factors of 98208

List of positive integer factors of 98208 that divides 98208 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

Step-4: Factors of 98219

List of positive integer factors of 98219 that divides 98208 without a remainder.

1, 11, 8929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98208 and 98219. The biggest common factor number is the GCF number.
So the greatest common factor 98208 and 98219 is 11.

Also check out the Least Common Multiple of 98208 and 98219