What is the Greatest Common Factor of 38388 and 38402?

Greatest common factor (GCF) of 38388 and 38402 is 14.

GCF(38388,38402) = 14

We will now calculate the prime factors of 38388 and 38402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38388 and 38402.

How to find the GCF of 38388 and 38402?

We will first find the prime factorization of 38388 and 38402. After we will calculate the factors of 38388 and 38402 and find the biggest common factor number .

Step-1: Prime Factorization of 38388

Prime factors of 38388 are 2, 3, 7, 457. Prime factorization of 38388 in exponential form is:

38388 = 2² × 3¹ × 7¹ × 457¹

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 38388

List of positive integer factors of 38388 that divides 38388 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828, 2742, 3199, 5484, 6398, 9597, 12796, 19194

Step-4: Factors of 38402

List of positive integer factors of 38402 that divides 38388 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 38388 and 38402. The biggest common factor number is the GCF number.
So the greatest common factor 38388 and 38402 is 14.

Also check out the Least Common Multiple of 38388 and 38402