What is the Greatest Common Factor of 48544 and 48561?

Greatest common factor (GCF) of 48544 and 48561 is 1.

GCF(48544,48561) = 1

We will now calculate the prime factors of 48544 and 48561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48544 and 48561.

How to find the GCF of 48544 and 48561?

We will first find the prime factorization of 48544 and 48561. After we will calculate the factors of 48544 and 48561 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 48561

Prime factors of 48561 are 3, 16187. Prime factorization of 48561 in exponential form is:

48561 = 3¹ × 16187¹

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 48561

List of positive integer factors of 48561 that divides 48544 without a remainder.

1, 3, 16187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48544 and 48561. The biggest common factor number is the GCF number.
So the greatest common factor 48544 and 48561 is 1.

Also check out the Least Common Multiple of 48544 and 48561