What is the Greatest Common Factor of 98368 and 98384?

Greatest common factor (GCF) of 98368 and 98384 is 16.

GCF(98368,98384) = 16

We will now calculate the prime factors of 98368 and 98384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98368 and 98384.

How to find the GCF of 98368 and 98384?

We will first find the prime factorization of 98368 and 98384. After we will calculate the factors of 98368 and 98384 and find the biggest common factor number .

Step-1: Prime Factorization of 98368

Prime factors of 98368 are 2, 29, 53. Prime factorization of 98368 in exponential form is:

98368 = 2⁶ × 29¹ × 53¹

Step-2: Prime Factorization of 98384

Prime factors of 98384 are 2, 11, 13, 43. Prime factorization of 98384 in exponential form is:

98384 = 2⁴ × 11¹ × 13¹ × 43¹

Step-3: Factors of 98368

List of positive integer factors of 98368 that divides 98368 without a remainder.

1, 2, 4, 8, 16, 29, 32, 53, 58, 64, 106, 116, 212, 232, 424, 464, 848, 928, 1537, 1696, 1856, 3074, 3392, 6148, 12296, 24592, 49184

Step-4: Factors of 98384

List of positive integer factors of 98384 that divides 98368 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 43, 44, 52, 86, 88, 104, 143, 172, 176, 208, 286, 344, 473, 559, 572, 688, 946, 1118, 1144, 1892, 2236, 2288, 3784, 4472, 6149, 7568, 8944, 12298, 24596, 49192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98368 and 98384. The biggest common factor number is the GCF number.
So the greatest common factor 98368 and 98384 is 16.

Also check out the Least Common Multiple of 98368 and 98384