What is the Greatest Common Factor of 20384 and 20402?

Greatest common factor (GCF) of 20384 and 20402 is 2.

GCF(20384,20402) = 2

We will now calculate the prime factors of 20384 and 20402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20384 and 20402.

How to find the GCF of 20384 and 20402?

We will first find the prime factorization of 20384 and 20402. After we will calculate the factors of 20384 and 20402 and find the biggest common factor number .

Step-1: Prime Factorization of 20384

Prime factors of 20384 are 2, 7, 13. Prime factorization of 20384 in exponential form is:

20384 = 2⁵ × 7² × 13¹

Step-2: Prime Factorization of 20402

Prime factors of 20402 are 2, 101. Prime factorization of 20402 in exponential form is:

20402 = 2¹ × 101²

Step-3: Factors of 20384

List of positive integer factors of 20384 that divides 20384 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192

Step-4: Factors of 20402

List of positive integer factors of 20402 that divides 20384 without a remainder.

1, 2, 101, 202, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20384 and 20402. The biggest common factor number is the GCF number.
So the greatest common factor 20384 and 20402 is 2.

Also check out the Least Common Multiple of 20384 and 20402