What is the Greatest Common Factor of 38544 and 38564?

Greatest common factor (GCF) of 38544 and 38564 is 4.

GCF(38544,38564) = 4

We will now calculate the prime factors of 38544 and 38564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38544 and 38564.

How to find the GCF of 38544 and 38564?

We will first find the prime factorization of 38544 and 38564. After we will calculate the factors of 38544 and 38564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38564

Prime factors of 38564 are 2, 31, 311. Prime factorization of 38564 in exponential form is:

38564 = 2² × 31¹ × 311¹

Step-3: Factors of 38544

List of positive integer factors of 38544 that divides 38544 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

Step-4: Factors of 38564

List of positive integer factors of 38564 that divides 38544 without a remainder.

1, 2, 4, 31, 62, 124, 311, 622, 1244, 9641, 19282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38544 and 38564. The biggest common factor number is the GCF number.
So the greatest common factor 38544 and 38564 is 4.

Also check out the Least Common Multiple of 38544 and 38564