What is the Greatest Common Factor of 38544 and 38553?

Greatest common factor (GCF) of 38544 and 38553 is 3.

GCF(38544,38553) = 3

We will now calculate the prime factors of 38544 and 38553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38544 and 38553.

How to find the GCF of 38544 and 38553?

We will first find the prime factorization of 38544 and 38553. After we will calculate the factors of 38544 and 38553 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 38553

Prime factors of 38553 are 3, 71, 181. Prime factorization of 38553 in exponential form is:

38553 = 3¹ × 71¹ × 181¹

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 38553

List of positive integer factors of 38553 that divides 38544 without a remainder.

1, 3, 71, 181, 213, 543, 12851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38544 and 38553. The biggest common factor number is the GCF number.
So the greatest common factor 38544 and 38553 is 3.

Also check out the Least Common Multiple of 38544 and 38553