What is the Greatest Common Factor of 48438 and 48450?

Greatest common factor (GCF) of 48438 and 48450 is 6.

GCF(48438,48450) = 6

We will now calculate the prime factors of 48438 and 48450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48438 and 48450.

How to find the GCF of 48438 and 48450?

We will first find the prime factorization of 48438 and 48450. After we will calculate the factors of 48438 and 48450 and find the biggest common factor number .

Step-1: Prime Factorization of 48438

Prime factors of 48438 are 2, 3, 13, 23. Prime factorization of 48438 in exponential form is:

48438 = 2¹ × 3⁴ × 13¹ × 23¹

Step-2: 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-3: Factors of 48438

List of positive integer factors of 48438 that divides 48438 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 27, 39, 46, 54, 69, 78, 81, 117, 138, 162, 207, 234, 299, 351, 414, 598, 621, 702, 897, 1053, 1242, 1794, 1863, 2106, 2691, 3726, 5382, 8073, 16146, 24219

Step-4: Factors of 48450

List of positive integer factors of 48450 that divides 48438 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48438 and 48450. The biggest common factor number is the GCF number.
So the greatest common factor 48438 and 48450 is 6.

Also check out the Least Common Multiple of 48438 and 48450