What is the Greatest Common Factor of 48036 and 48048?

Greatest common factor (GCF) of 48036 and 48048 is 12.

GCF(48036,48048) = 12

We will now calculate the prime factors of 48036 and 48048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48036 and 48048.

How to find the GCF of 48036 and 48048?

We will first find the prime factorization of 48036 and 48048. After we will calculate the factors of 48036 and 48048 and find the biggest common factor number .

Step-1: Prime Factorization of 48036

Prime factors of 48036 are 2, 3, 4003. Prime factorization of 48036 in exponential form is:

48036 = 2² × 3¹ × 4003¹

Step-2: Prime Factorization of 48048

Prime factors of 48048 are 2, 3, 7, 11, 13. Prime factorization of 48048 in exponential form is:

48048 = 2⁴ × 3¹ × 7¹ × 11¹ × 13¹

Step-3: Factors of 48036

List of positive integer factors of 48036 that divides 48036 without a remainder.

1, 2, 3, 4, 6, 12, 4003, 8006, 12009, 16012, 24018

Step-4: Factors of 48048

List of positive integer factors of 48048 that divides 48036 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16, 21, 22, 24, 26, 28, 33, 39, 42, 44, 48, 52, 56, 66, 77, 78, 84, 88, 91, 104, 112, 132, 143, 154, 156, 168, 176, 182, 208, 231, 264, 273, 286, 308, 312, 336, 364, 429, 462, 528, 546, 572, 616, 624, 728, 858, 924, 1001, 1092, 1144, 1232, 1456, 1716, 1848, 2002, 2184, 2288, 3003, 3432, 3696, 4004, 4368, 6006, 6864, 8008, 12012, 16016, 24024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48036 and 48048. The biggest common factor number is the GCF number.
So the greatest common factor 48036 and 48048 is 12.

Also check out the Least Common Multiple of 48036 and 48048