What is the Greatest Common Factor of 98384 and 98402?

Greatest common factor (GCF) of 98384 and 98402 is 2.

GCF(98384,98402) = 2

We will now calculate the prime factors of 98384 and 98402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98384 and 98402.

How to find the GCF of 98384 and 98402?

We will first find the prime factorization of 98384 and 98402. After we will calculate the factors of 98384 and 98402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98402

Prime factors of 98402 are 2, 49201. Prime factorization of 98402 in exponential form is:

98402 = 2¹ × 49201¹

Step-3: Factors of 98384

List of positive integer factors of 98384 that divides 98384 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

Step-4: Factors of 98402

List of positive integer factors of 98402 that divides 98384 without a remainder.

1, 2, 49201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98384 and 98402. The biggest common factor number is the GCF number.
So the greatest common factor 98384 and 98402 is 2.

Also check out the Least Common Multiple of 98384 and 98402