What is the Greatest Common Factor of 48450 and 48463?

Greatest common factor (GCF) of 48450 and 48463 is 1.

GCF(48450,48463) = 1

We will now calculate the prime factors of 48450 and 48463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48450 and 48463.

How to find the GCF of 48450 and 48463?

We will first find the prime factorization of 48450 and 48463. After we will calculate the factors of 48450 and 48463 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 48463

Prime factors of 48463 are 48463. Prime factorization of 48463 in exponential form is:

48463 = 48463¹

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 48463

List of positive integer factors of 48463 that divides 48450 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48450 and 48463. The biggest common factor number is the GCF number.
So the greatest common factor 48450 and 48463 is 1.

Also check out the Least Common Multiple of 48450 and 48463