What is the Greatest Common Factor of 98208 and 98224?

Greatest common factor (GCF) of 98208 and 98224 is 16.

GCF(98208,98224) = 16

We will now calculate the prime factors of 98208 and 98224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98208 and 98224.

How to find the GCF of 98208 and 98224?

We will first find the prime factorization of 98208 and 98224. After we will calculate the factors of 98208 and 98224 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 98224

Prime factors of 98224 are 2, 7, 877. Prime factorization of 98224 in exponential form is:

98224 = 2⁴ × 7¹ × 877¹

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 98224

List of positive integer factors of 98224 that divides 98208 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 877, 1754, 3508, 6139, 7016, 12278, 14032, 24556, 49112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98208 and 98224. The biggest common factor number is the GCF number.
So the greatest common factor 98208 and 98224 is 16.

Also check out the Least Common Multiple of 98208 and 98224