What is the Greatest Common Factor of 48519 and 48526?

Greatest common factor (GCF) of 48519 and 48526 is 1.

GCF(48519,48526) = 1

We will now calculate the prime factors of 48519 and 48526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48519 and 48526.

How to find the GCF of 48519 and 48526?

We will first find the prime factorization of 48519 and 48526. After we will calculate the factors of 48519 and 48526 and find the biggest common factor number .

Step-1: Prime Factorization of 48519

Prime factors of 48519 are 3, 599. Prime factorization of 48519 in exponential form is:

48519 = 3⁴ × 599¹

Step-2: Prime Factorization of 48526

Prime factors of 48526 are 2, 19, 1277. Prime factorization of 48526 in exponential form is:

48526 = 2¹ × 19¹ × 1277¹

Step-3: Factors of 48519

List of positive integer factors of 48519 that divides 48519 without a remainder.

1, 3, 9, 27, 81, 599, 1797, 5391, 16173

Step-4: Factors of 48526

List of positive integer factors of 48526 that divides 48519 without a remainder.

1, 2, 19, 38, 1277, 2554, 24263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48519 and 48526. The biggest common factor number is the GCF number.
So the greatest common factor 48519 and 48526 is 1.

Also check out the Least Common Multiple of 48519 and 48526