What is the Greatest Common Factor of 38428 and 38448?

Greatest common factor (GCF) of 38428 and 38448 is 4.

GCF(38428,38448) = 4

We will now calculate the prime factors of 38428 and 38448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38428 and 38448.

How to find the GCF of 38428 and 38448?

We will first find the prime factorization of 38428 and 38448. After we will calculate the factors of 38428 and 38448 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 38448

Prime factors of 38448 are 2, 3, 89. Prime factorization of 38448 in exponential form is:

38448 = 2⁴ × 3³ × 89¹

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 38448

List of positive integer factors of 38448 that divides 38428 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 89, 108, 144, 178, 216, 267, 356, 432, 534, 712, 801, 1068, 1424, 1602, 2136, 2403, 3204, 4272, 4806, 6408, 9612, 12816, 19224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38428 and 38448. The biggest common factor number is the GCF number.
So the greatest common factor 38428 and 38448 is 4.

Also check out the Least Common Multiple of 38428 and 38448