What is the Greatest Common Factor of 48450 and 48459?

Greatest common factor (GCF) of 48450 and 48459 is 3.

GCF(48450,48459) = 3

We will now calculate the prime factors of 48450 and 48459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48450 and 48459.

How to find the GCF of 48450 and 48459?

We will first find the prime factorization of 48450 and 48459. After we will calculate the factors of 48450 and 48459 and find the biggest common factor number .

Step-1: Prime Factorization of 48450

Prime factors of 48450 are 2, 3, 5, 17, 19. Prime factorization of 48450 in exponential form is:

48450 = 2¹ × 3¹ × 5² × 17¹ × 19¹

Step-2: Prime Factorization of 48459

Prime factors of 48459 are 3, 29, 557. Prime factorization of 48459 in exponential form is:

48459 = 3¹ × 29¹ × 557¹

Step-3: Factors of 48450

List of positive integer factors of 48450 that divides 48450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 19, 25, 30, 34, 38, 50, 51, 57, 75, 85, 95, 102, 114, 150, 170, 190, 255, 285, 323, 425, 475, 510, 570, 646, 850, 950, 969, 1275, 1425, 1615, 1938, 2550, 2850, 3230, 4845, 8075, 9690, 16150, 24225

Step-4: Factors of 48459

List of positive integer factors of 48459 that divides 48450 without a remainder.

1, 3, 29, 87, 557, 1671, 16153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48450 and 48459. The biggest common factor number is the GCF number.
So the greatest common factor 48450 and 48459 is 3.

Also check out the Least Common Multiple of 48450 and 48459