What is the Greatest Common Factor of 48144 and 48153?

Greatest common factor (GCF) of 48144 and 48153 is 3.

GCF(48144,48153) = 3

We will now calculate the prime factors of 48144 and 48153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48144 and 48153.

How to find the GCF of 48144 and 48153?

We will first find the prime factorization of 48144 and 48153. After we will calculate the factors of 48144 and 48153 and find the biggest common factor number .

Step-1: Prime Factorization of 48144

Prime factors of 48144 are 2, 3, 17, 59. Prime factorization of 48144 in exponential form is:

48144 = 2⁴ × 3¹ × 17¹ × 59¹

Step-2: Prime Factorization of 48153

Prime factors of 48153 are 3, 7, 2293. Prime factorization of 48153 in exponential form is:

48153 = 3¹ × 7¹ × 2293¹

Step-3: Factors of 48144

List of positive integer factors of 48144 that divides 48144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 59, 68, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 708, 816, 944, 1003, 1416, 2006, 2832, 3009, 4012, 6018, 8024, 12036, 16048, 24072

Step-4: Factors of 48153

List of positive integer factors of 48153 that divides 48144 without a remainder.

1, 3, 7, 21, 2293, 6879, 16051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48144 and 48153. The biggest common factor number is the GCF number.
So the greatest common factor 48144 and 48153 is 3.

Also check out the Least Common Multiple of 48144 and 48153