What is the Greatest Common Factor of 48514 and 48524?

Greatest common factor (GCF) of 48514 and 48524 is 2.

GCF(48514,48524) = 2

We will now calculate the prime factors of 48514 and 48524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48514 and 48524.

How to find the GCF of 48514 and 48524?

We will first find the prime factorization of 48514 and 48524. After we will calculate the factors of 48514 and 48524 and find the biggest common factor number .

Step-1: Prime Factorization of 48514

Prime factors of 48514 are 2, 127, 191. Prime factorization of 48514 in exponential form is:

48514 = 2¹ × 127¹ × 191¹

Step-2: 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-3: Factors of 48514

List of positive integer factors of 48514 that divides 48514 without a remainder.

1, 2, 127, 191, 254, 382, 24257

Step-4: Factors of 48524

List of positive integer factors of 48524 that divides 48514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48514 and 48524. The biggest common factor number is the GCF number.
So the greatest common factor 48514 and 48524 is 2.

Also check out the Least Common Multiple of 48514 and 48524