What is the Greatest Common Factor of 48900 and 48906?

Greatest common factor (GCF) of 48900 and 48906 is 6.

GCF(48900,48906) = 6

We will now calculate the prime factors of 48900 and 48906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48900 and 48906.

How to find the GCF of 48900 and 48906?

We will first find the prime factorization of 48900 and 48906. After we will calculate the factors of 48900 and 48906 and find the biggest common factor number .

Step-1: Prime Factorization of 48900

Prime factors of 48900 are 2, 3, 5, 163. Prime factorization of 48900 in exponential form is:

48900 = 2² × 3¹ × 5² × 163¹

Step-2: Prime Factorization of 48906

Prime factors of 48906 are 2, 3, 11, 13, 19. Prime factorization of 48906 in exponential form is:

48906 = 2¹ × 3² × 11¹ × 13¹ × 19¹

Step-3: Factors of 48900

List of positive integer factors of 48900 that divides 48900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 163, 300, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4075, 4890, 8150, 9780, 12225, 16300, 24450

Step-4: Factors of 48906

List of positive integer factors of 48906 that divides 48900 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 19, 22, 26, 33, 38, 39, 57, 66, 78, 99, 114, 117, 143, 171, 198, 209, 234, 247, 286, 342, 418, 429, 494, 627, 741, 858, 1254, 1287, 1482, 1881, 2223, 2574, 2717, 3762, 4446, 5434, 8151, 16302, 24453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48900 and 48906. The biggest common factor number is the GCF number.
So the greatest common factor 48900 and 48906 is 6.

Also check out the Least Common Multiple of 48900 and 48906