What is the Greatest Common Factor of 38389 and 38402?

Greatest common factor (GCF) of 38389 and 38402 is 13.

GCF(38389,38402) = 13

We will now calculate the prime factors of 38389 and 38402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38389 and 38402.

How to find the GCF of 38389 and 38402?

We will first find the prime factorization of 38389 and 38402. After we will calculate the factors of 38389 and 38402 and find the biggest common factor number .

Step-1: Prime Factorization of 38389

Prime factors of 38389 are 13, 2953. Prime factorization of 38389 in exponential form is:

38389 = 13¹ × 2953¹

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 38389

List of positive integer factors of 38389 that divides 38389 without a remainder.

1, 13, 2953

Step-4: Factors of 38402

List of positive integer factors of 38402 that divides 38389 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 38389 and 38402. The biggest common factor number is the GCF number.
So the greatest common factor 38389 and 38402 is 13.

Also check out the Least Common Multiple of 38389 and 38402