What is the Greatest Common Factor of 48450 and 48455?

Greatest common factor (GCF) of 48450 and 48455 is 5.

GCF(48450,48455) = 5

We will now calculate the prime factors of 48450 and 48455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48450 and 48455.

How to find the GCF of 48450 and 48455?

We will first find the prime factorization of 48450 and 48455. After we will calculate the factors of 48450 and 48455 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 48455

Prime factors of 48455 are 5, 11, 881. Prime factorization of 48455 in exponential form is:

48455 = 5¹ × 11¹ × 881¹

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 48455

List of positive integer factors of 48455 that divides 48450 without a remainder.

1, 5, 11, 55, 881, 4405, 9691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48450 and 48455. The biggest common factor number is the GCF number.
So the greatest common factor 48450 and 48455 is 5.

Also check out the Least Common Multiple of 48450 and 48455