What is the Greatest Common Factor of 48150 and 48168?

Greatest common factor (GCF) of 48150 and 48168 is 18.

GCF(48150,48168) = 18

We will now calculate the prime factors of 48150 and 48168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48150 and 48168.

How to find the GCF of 48150 and 48168?

We will first find the prime factorization of 48150 and 48168. After we will calculate the factors of 48150 and 48168 and find the biggest common factor number .

Step-1: Prime Factorization of 48150

Prime factors of 48150 are 2, 3, 5, 107. Prime factorization of 48150 in exponential form is:

48150 = 2¹ × 3² × 5² × 107¹

Step-2: Prime Factorization of 48168

Prime factors of 48168 are 2, 3, 223. Prime factorization of 48168 in exponential form is:

48168 = 2³ × 3³ × 223¹

Step-3: Factors of 48150

List of positive integer factors of 48150 that divides 48150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107, 150, 214, 225, 321, 450, 535, 642, 963, 1070, 1605, 1926, 2675, 3210, 4815, 5350, 8025, 9630, 16050, 24075

Step-4: Factors of 48168

List of positive integer factors of 48168 that divides 48150 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 6021, 8028, 12042, 16056, 24084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48150 and 48168. The biggest common factor number is the GCF number.
So the greatest common factor 48150 and 48168 is 18.

Also check out the Least Common Multiple of 48150 and 48168