What is the Greatest Common Factor of 38531 and 38544?

Greatest common factor (GCF) of 38531 and 38544 is 1.

GCF(38531,38544) = 1

We will now calculate the prime factors of 38531 and 38544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38531 and 38544.

How to find the GCF of 38531 and 38544?

We will first find the prime factorization of 38531 and 38544. After we will calculate the factors of 38531 and 38544 and find the biggest common factor number .

Step-1: Prime Factorization of 38531

Prime factors of 38531 are 53, 727. Prime factorization of 38531 in exponential form is:

38531 = 53¹ × 727¹

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 38531

List of positive integer factors of 38531 that divides 38531 without a remainder.

1, 53, 727

Step-4: Factors of 38544

List of positive integer factors of 38544 that divides 38531 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 38531 and 38544. The biggest common factor number is the GCF number.
So the greatest common factor 38531 and 38544 is 1.

Also check out the Least Common Multiple of 38531 and 38544