What is the Greatest Common Factor of 48048 and 48064?

Greatest common factor (GCF) of 48048 and 48064 is 16.

GCF(48048,48064) = 16

We will now calculate the prime factors of 48048 and 48064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48048 and 48064.

How to find the GCF of 48048 and 48064?

We will first find the prime factorization of 48048 and 48064. After we will calculate the factors of 48048 and 48064 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 48064

Prime factors of 48064 are 2, 751. Prime factorization of 48064 in exponential form is:

48064 = 2⁶ × 751¹

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 48064

List of positive integer factors of 48064 that divides 48048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 751, 1502, 3004, 6008, 12016, 24032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48048 and 48064. The biggest common factor number is the GCF number.
So the greatest common factor 48048 and 48064 is 16.

Also check out the Least Common Multiple of 48048 and 48064