What is the Greatest Common Factor of 38544 and 38563?

Greatest common factor (GCF) of 38544 and 38563 is 1.

GCF(38544,38563) = 1

We will now calculate the prime factors of 38544 and 38563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38544 and 38563.

How to find the GCF of 38544 and 38563?

We will first find the prime factorization of 38544 and 38563. After we will calculate the factors of 38544 and 38563 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 38563

Prime factors of 38563 are 7, 787. Prime factorization of 38563 in exponential form is:

38563 = 7² × 787¹

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 38563

List of positive integer factors of 38563 that divides 38544 without a remainder.

1, 7, 49, 787, 5509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38544 and 38563. The biggest common factor number is the GCF number.
So the greatest common factor 38544 and 38563 is 1.

Also check out the Least Common Multiple of 38544 and 38563