What is the Greatest Common Factor of 48032 and 48048?

Greatest common factor (GCF) of 48032 and 48048 is 16.

GCF(48032,48048) = 16

We will now calculate the prime factors of 48032 and 48048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48032 and 48048.

How to find the GCF of 48032 and 48048?

We will first find the prime factorization of 48032 and 48048. After we will calculate the factors of 48032 and 48048 and find the biggest common factor number .

Step-1: Prime Factorization of 48032

Prime factors of 48032 are 2, 19, 79. Prime factorization of 48032 in exponential form is:

48032 = 2⁵ × 19¹ × 79¹

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 48032

List of positive integer factors of 48032 that divides 48032 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 79, 152, 158, 304, 316, 608, 632, 1264, 1501, 2528, 3002, 6004, 12008, 24016

Step-4: Factors of 48048

List of positive integer factors of 48048 that divides 48032 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 48032 and 48048. The biggest common factor number is the GCF number.
So the greatest common factor 48032 and 48048 is 16.

Also check out the Least Common Multiple of 48032 and 48048