What is the Greatest Common Factor of 38528 and 38544?

Greatest common factor (GCF) of 38528 and 38544 is 16.

GCF(38528,38544) = 16

We will now calculate the prime factors of 38528 and 38544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38528 and 38544.

How to find the GCF of 38528 and 38544?

We will first find the prime factorization of 38528 and 38544. After we will calculate the factors of 38528 and 38544 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 38544

Prime factors of 38544 are 2, 3, 11, 73. Prime factorization of 38544 in exponential form is:

38544 = 2⁴ × 3¹ × 11¹ × 73¹

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 38544

List of positive integer factors of 38544 that divides 38528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 73, 88, 132, 146, 176, 219, 264, 292, 438, 528, 584, 803, 876, 1168, 1606, 1752, 2409, 3212, 3504, 4818, 6424, 9636, 12848, 19272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38528 and 38544. The biggest common factor number is the GCF number.
So the greatest common factor 38528 and 38544 is 16.

Also check out the Least Common Multiple of 38528 and 38544