What is the Greatest Common Factor of 48544 and 48554?

Greatest common factor (GCF) of 48544 and 48554 is 2.

GCF(48544,48554) = 2

We will now calculate the prime factors of 48544 and 48554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48544 and 48554.

How to find the GCF of 48544 and 48554?

We will first find the prime factorization of 48544 and 48554. After we will calculate the factors of 48544 and 48554 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 48554

Prime factors of 48554 are 2, 11, 2207. Prime factorization of 48554 in exponential form is:

48554 = 2¹ × 11¹ × 2207¹

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 48554

List of positive integer factors of 48554 that divides 48544 without a remainder.

1, 2, 11, 22, 2207, 4414, 24277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48544 and 48554. The biggest common factor number is the GCF number.
So the greatest common factor 48544 and 48554 is 2.

Also check out the Least Common Multiple of 48544 and 48554