What is the Greatest Common Factor of 38524 and 38544?

Greatest common factor (GCF) of 38524 and 38544 is 4.

GCF(38524,38544) = 4

We will now calculate the prime factors of 38524 and 38544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38524 and 38544.

How to find the GCF of 38524 and 38544?

We will first find the prime factorization of 38524 and 38544. After we will calculate the factors of 38524 and 38544 and find the biggest common factor number .

Step-1: Prime Factorization of 38524

Prime factors of 38524 are 2, 9631. Prime factorization of 38524 in exponential form is:

38524 = 2² × 9631¹

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 38524

List of positive integer factors of 38524 that divides 38524 without a remainder.

1, 2, 4, 9631, 19262

Step-4: Factors of 38544

List of positive integer factors of 38544 that divides 38524 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 38524 and 38544. The biggest common factor number is the GCF number.
So the greatest common factor 38524 and 38544 is 4.

Also check out the Least Common Multiple of 38524 and 38544