What is the Greatest Common Factor of 48048 and 48053?

Greatest common factor (GCF) of 48048 and 48053 is 1.

GCF(48048,48053) = 1

We will now calculate the prime factors of 48048 and 48053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48048 and 48053.

How to find the GCF of 48048 and 48053?

We will first find the prime factorization of 48048 and 48053. After we will calculate the factors of 48048 and 48053 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 48053

Prime factors of 48053 are 29, 1657. Prime factorization of 48053 in exponential form is:

48053 = 29¹ × 1657¹

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 48053

List of positive integer factors of 48053 that divides 48048 without a remainder.

1, 29, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48048 and 48053. The biggest common factor number is the GCF number.
So the greatest common factor 48048 and 48053 is 1.

Also check out the Least Common Multiple of 48048 and 48053