What is the Greatest Common Factor of 38528 and 38546?

Greatest common factor (GCF) of 38528 and 38546 is 2.

GCF(38528,38546) = 2

We will now calculate the prime factors of 38528 and 38546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38528 and 38546.

How to find the GCF of 38528 and 38546?

We will first find the prime factorization of 38528 and 38546. After we will calculate the factors of 38528 and 38546 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 38546

Prime factors of 38546 are 2, 19273. Prime factorization of 38546 in exponential form is:

38546 = 2¹ × 19273¹

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 38546

List of positive integer factors of 38546 that divides 38528 without a remainder.

1, 2, 19273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38528 and 38546. The biggest common factor number is the GCF number.
So the greatest common factor 38528 and 38546 is 2.

Also check out the Least Common Multiple of 38528 and 38546