What is the Greatest Common Factor of 48512 and 48522?

Greatest common factor (GCF) of 48512 and 48522 is 2.

GCF(48512,48522) = 2

We will now calculate the prime factors of 48512 and 48522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48512 and 48522.

How to find the GCF of 48512 and 48522?

We will first find the prime factorization of 48512 and 48522. After we will calculate the factors of 48512 and 48522 and find the biggest common factor number .

Step-1: Prime Factorization of 48512

Prime factors of 48512 are 2, 379. Prime factorization of 48512 in exponential form is:

48512 = 2⁷ × 379¹

Step-2: Prime Factorization of 48522

Prime factors of 48522 are 2, 3, 8087. Prime factorization of 48522 in exponential form is:

48522 = 2¹ × 3¹ × 8087¹

Step-3: Factors of 48512

List of positive integer factors of 48512 that divides 48512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 379, 758, 1516, 3032, 6064, 12128, 24256

Step-4: Factors of 48522

List of positive integer factors of 48522 that divides 48512 without a remainder.

1, 2, 3, 6, 8087, 16174, 24261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48512 and 48522. The biggest common factor number is the GCF number.
So the greatest common factor 48512 and 48522 is 2.

Also check out the Least Common Multiple of 48512 and 48522