What is the Greatest Common Factor of 38528 and 38537?

Greatest common factor (GCF) of 38528 and 38537 is 1.

GCF(38528,38537) = 1

We will now calculate the prime factors of 38528 and 38537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38528 and 38537.

How to find the GCF of 38528 and 38537?

We will first find the prime factorization of 38528 and 38537. After we will calculate the factors of 38528 and 38537 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 38537

Prime factors of 38537 are 89, 433. Prime factorization of 38537 in exponential form is:

38537 = 89¹ × 433¹

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 38537

List of positive integer factors of 38537 that divides 38528 without a remainder.

1, 89, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38528 and 38537. The biggest common factor number is the GCF number.
So the greatest common factor 38528 and 38537 is 1.

Also check out the Least Common Multiple of 38528 and 38537