What is the Greatest Common Factor of 48524 and 48536?

Greatest common factor (GCF) of 48524 and 48536 is 4.

GCF(48524,48536) = 4

We will now calculate the prime factors of 48524 and 48536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48524 and 48536.

How to find the GCF of 48524 and 48536?

We will first find the prime factorization of 48524 and 48536. After we will calculate the factors of 48524 and 48536 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 48536

Prime factors of 48536 are 2, 6067. Prime factorization of 48536 in exponential form is:

48536 = 2³ × 6067¹

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 48536

List of positive integer factors of 48536 that divides 48524 without a remainder.

1, 2, 4, 8, 6067, 12134, 24268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48524 and 48536. The biggest common factor number is the GCF number.
So the greatest common factor 48524 and 48536 is 4.

Also check out the Least Common Multiple of 48524 and 48536