What is the Greatest Common Factor of 38428 and 38440?

Greatest common factor (GCF) of 38428 and 38440 is 4.

GCF(38428,38440) = 4

We will now calculate the prime factors of 38428 and 38440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38428 and 38440.

How to find the GCF of 38428 and 38440?

We will first find the prime factorization of 38428 and 38440. After we will calculate the factors of 38428 and 38440 and find the biggest common factor number .

Step-1: Prime Factorization of 38428

Prime factors of 38428 are 2, 13, 739. Prime factorization of 38428 in exponential form is:

38428 = 2² × 13¹ × 739¹

Step-2: Prime Factorization of 38440

Prime factors of 38440 are 2, 5, 31. Prime factorization of 38440 in exponential form is:

38440 = 2³ × 5¹ × 31²

Step-3: Factors of 38428

List of positive integer factors of 38428 that divides 38428 without a remainder.

1, 2, 4, 13, 26, 52, 739, 1478, 2956, 9607, 19214

Step-4: Factors of 38440

List of positive integer factors of 38440 that divides 38428 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 961, 1240, 1922, 3844, 4805, 7688, 9610, 19220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38428 and 38440. The biggest common factor number is the GCF number.
So the greatest common factor 38428 and 38440 is 4.

Also check out the Least Common Multiple of 38428 and 38440