What is the Greatest Common Factor of 48544 and 48562?

Greatest common factor (GCF) of 48544 and 48562 is 2.

GCF(48544,48562) = 2

We will now calculate the prime factors of 48544 and 48562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48544 and 48562.

How to find the GCF of 48544 and 48562?

We will first find the prime factorization of 48544 and 48562. After we will calculate the factors of 48544 and 48562 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 48562

Prime factors of 48562 are 2, 24281. Prime factorization of 48562 in exponential form is:

48562 = 2¹ × 24281¹

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 48562

List of positive integer factors of 48562 that divides 48544 without a remainder.

1, 2, 24281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48544 and 48562. The biggest common factor number is the GCF number.
So the greatest common factor 48544 and 48562 is 2.

Also check out the Least Common Multiple of 48544 and 48562