What is the Greatest Common Factor of 38528 and 38542?

Greatest common factor (GCF) of 38528 and 38542 is 14.

GCF(38528,38542) = 14

We will now calculate the prime factors of 38528 and 38542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38528 and 38542.

How to find the GCF of 38528 and 38542?

We will first find the prime factorization of 38528 and 38542. After we will calculate the factors of 38528 and 38542 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 38542

Prime factors of 38542 are 2, 7, 2753. Prime factorization of 38542 in exponential form is:

38542 = 2¹ × 7¹ × 2753¹

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 38542

List of positive integer factors of 38542 that divides 38528 without a remainder.

1, 2, 7, 14, 2753, 5506, 19271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38528 and 38542. The biggest common factor number is the GCF number.
So the greatest common factor 38528 and 38542 is 14.

Also check out the Least Common Multiple of 38528 and 38542