What is the Greatest Common Factor of 48538 and 48548?

Greatest common factor (GCF) of 48538 and 48548 is 2.

GCF(48538,48548) = 2

We will now calculate the prime factors of 48538 and 48548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48538 and 48548.

How to find the GCF of 48538 and 48548?

We will first find the prime factorization of 48538 and 48548. After we will calculate the factors of 48538 and 48548 and find the biggest common factor number .

Step-1: Prime Factorization of 48538

Prime factors of 48538 are 2, 7, 3467. Prime factorization of 48538 in exponential form is:

48538 = 2¹ × 7¹ × 3467¹

Step-2: Prime Factorization of 48548

Prime factors of 48548 are 2, 53, 229. Prime factorization of 48548 in exponential form is:

48548 = 2² × 53¹ × 229¹

Step-3: Factors of 48538

List of positive integer factors of 48538 that divides 48538 without a remainder.

1, 2, 7, 14, 3467, 6934, 24269

Step-4: Factors of 48548

List of positive integer factors of 48548 that divides 48538 without a remainder.

1, 2, 4, 53, 106, 212, 229, 458, 916, 12137, 24274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48538 and 48548. The biggest common factor number is the GCF number.
So the greatest common factor 48538 and 48548 is 2.

Also check out the Least Common Multiple of 48538 and 48548