What is the Greatest Common Factor of 38528 and 38540?

Greatest common factor (GCF) of 38528 and 38540 is 4.

GCF(38528,38540) = 4

We will now calculate the prime factors of 38528 and 38540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38528 and 38540.

How to find the GCF of 38528 and 38540?

We will first find the prime factorization of 38528 and 38540. After we will calculate the factors of 38528 and 38540 and find the biggest common factor number .

Step-1: Prime Factorization of 38528

Prime factors of 38528 are 2, 7, 43. Prime factorization of 38528 in exponential form is:

38528 = 2⁷ × 7¹ × 43¹

Step-2: Prime Factorization of 38540

Prime factors of 38540 are 2, 5, 41, 47. Prime factorization of 38540 in exponential form is:

38540 = 2² × 5¹ × 41¹ × 47¹

Step-3: Factors of 38528

List of positive integer factors of 38528 that divides 38528 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 64, 86, 112, 128, 172, 224, 301, 344, 448, 602, 688, 896, 1204, 1376, 2408, 2752, 4816, 5504, 9632, 19264

Step-4: Factors of 38540

List of positive integer factors of 38540 that divides 38528 without a remainder.

1, 2, 4, 5, 10, 20, 41, 47, 82, 94, 164, 188, 205, 235, 410, 470, 820, 940, 1927, 3854, 7708, 9635, 19270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38528 and 38540. The biggest common factor number is the GCF number.
So the greatest common factor 38528 and 38540 is 4.

Also check out the Least Common Multiple of 38528 and 38540