What is the Greatest Common Factor of 48048 and 48059?

Greatest common factor (GCF) of 48048 and 48059 is 11.

GCF(48048,48059) = 11

We will now calculate the prime factors of 48048 and 48059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48048 and 48059.

How to find the GCF of 48048 and 48059?

We will first find the prime factorization of 48048 and 48059. After we will calculate the factors of 48048 and 48059 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48059

Prime factors of 48059 are 11, 17, 257. Prime factorization of 48059 in exponential form is:

48059 = 11¹ × 17¹ × 257¹

Step-3: Factors of 48048

List of positive integer factors of 48048 that divides 48048 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

Step-4: Factors of 48059

List of positive integer factors of 48059 that divides 48048 without a remainder.

1, 11, 17, 187, 257, 2827, 4369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48048 and 48059. The biggest common factor number is the GCF number.
So the greatest common factor 48048 and 48059 is 11.

Also check out the Least Common Multiple of 48048 and 48059