What is the Greatest Common Factor of 48544 and 48549?

Greatest common factor (GCF) of 48544 and 48549 is 1.

GCF(48544,48549) = 1

We will now calculate the prime factors of 48544 and 48549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48544 and 48549.

How to find the GCF of 48544 and 48549?

We will first find the prime factorization of 48544 and 48549. After we will calculate the factors of 48544 and 48549 and find the biggest common factor number .

Step-1: Prime Factorization of 48544

Prime factors of 48544 are 2, 37, 41. Prime factorization of 48544 in exponential form is:

48544 = 2⁵ × 37¹ × 41¹

Step-2: Prime Factorization of 48549

Prime factors of 48549 are 3, 16183. Prime factorization of 48549 in exponential form is:

48549 = 3¹ × 16183¹

Step-3: Factors of 48544

List of positive integer factors of 48544 that divides 48544 without a remainder.

1, 2, 4, 8, 16, 32, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1184, 1312, 1517, 3034, 6068, 12136, 24272

Step-4: Factors of 48549

List of positive integer factors of 48549 that divides 48544 without a remainder.

1, 3, 16183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48544 and 48549. The biggest common factor number is the GCF number.
So the greatest common factor 48544 and 48549 is 1.

Also check out the Least Common Multiple of 48544 and 48549