What is the Greatest Common Factor of 48519 and 48532?

Greatest common factor (GCF) of 48519 and 48532 is 1.

GCF(48519,48532) = 1

We will now calculate the prime factors of 48519 and 48532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48519 and 48532.

How to find the GCF of 48519 and 48532?

We will first find the prime factorization of 48519 and 48532. After we will calculate the factors of 48519 and 48532 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 48532

Prime factors of 48532 are 2, 11, 1103. Prime factorization of 48532 in exponential form is:

48532 = 2² × 11¹ × 1103¹

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 48532

List of positive integer factors of 48532 that divides 48519 without a remainder.

1, 2, 4, 11, 22, 44, 1103, 2206, 4412, 12133, 24266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48519 and 48532. The biggest common factor number is the GCF number.
So the greatest common factor 48519 and 48532 is 1.

Also check out the Least Common Multiple of 48519 and 48532