What is the Greatest Common Factor of 48450 and 48465?

Greatest common factor (GCF) of 48450 and 48465 is 15.

GCF(48450,48465) = 15

We will now calculate the prime factors of 48450 and 48465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48450 and 48465.

How to find the GCF of 48450 and 48465?

We will first find the prime factorization of 48450 and 48465. After we will calculate the factors of 48450 and 48465 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 48465

Prime factors of 48465 are 3, 5, 359. Prime factorization of 48465 in exponential form is:

48465 = 3³ × 5¹ × 359¹

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 48465

List of positive integer factors of 48465 that divides 48450 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 359, 1077, 1795, 3231, 5385, 9693, 16155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48450 and 48465. The biggest common factor number is the GCF number.
So the greatest common factor 48450 and 48465 is 15.

Also check out the Least Common Multiple of 48450 and 48465