What is the Greatest Common Factor of 48524 and 48538?

Greatest common factor (GCF) of 48524 and 48538 is 14.

GCF(48524,48538) = 14

We will now calculate the prime factors of 48524 and 48538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48524 and 48538.

How to find the GCF of 48524 and 48538?

We will first find the prime factorization of 48524 and 48538. After we will calculate the factors of 48524 and 48538 and find the biggest common factor number .

Step-1: Prime Factorization of 48524

Prime factors of 48524 are 2, 7, 1733. Prime factorization of 48524 in exponential form is:

48524 = 2² × 7¹ × 1733¹

Step-2: 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-3: Factors of 48524

List of positive integer factors of 48524 that divides 48524 without a remainder.

1, 2, 4, 7, 14, 28, 1733, 3466, 6932, 12131, 24262

Step-4: Factors of 48538

List of positive integer factors of 48538 that divides 48524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48524 and 48538. The biggest common factor number is the GCF number.
So the greatest common factor 48524 and 48538 is 14.

Also check out the Least Common Multiple of 48524 and 48538