What is the Greatest Common Factor of 38384 and 38402?

Greatest common factor (GCF) of 38384 and 38402 is 2.

GCF(38384,38402) = 2

We will now calculate the prime factors of 38384 and 38402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38384 and 38402.

How to find the GCF of 38384 and 38402?

We will first find the prime factorization of 38384 and 38402. After we will calculate the factors of 38384 and 38402 and find the biggest common factor number .

Step-1: Prime Factorization of 38384

Prime factors of 38384 are 2, 2399. Prime factorization of 38384 in exponential form is:

38384 = 2⁴ × 2399¹

Step-2: Prime Factorization of 38402

Prime factors of 38402 are 2, 7, 13, 211. Prime factorization of 38402 in exponential form is:

38402 = 2¹ × 7¹ × 13¹ × 211¹

Step-3: Factors of 38384

List of positive integer factors of 38384 that divides 38384 without a remainder.

1, 2, 4, 8, 16, 2399, 4798, 9596, 19192

Step-4: Factors of 38402

List of positive integer factors of 38402 that divides 38384 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 211, 422, 1477, 2743, 2954, 5486, 19201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38384 and 38402. The biggest common factor number is the GCF number.
So the greatest common factor 38384 and 38402 is 2.

Also check out the Least Common Multiple of 38384 and 38402