What is the Greatest Common Factor of 48336 and 48348?

Greatest common factor (GCF) of 48336 and 48348 is 12.

GCF(48336,48348) = 12

We will now calculate the prime factors of 48336 and 48348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48336 and 48348.

How to find the GCF of 48336 and 48348?

We will first find the prime factorization of 48336 and 48348. After we will calculate the factors of 48336 and 48348 and find the biggest common factor number .

Step-1: Prime Factorization of 48336

Prime factors of 48336 are 2, 3, 19, 53. Prime factorization of 48336 in exponential form is:

48336 = 2⁴ × 3¹ × 19¹ × 53¹

Step-2: Prime Factorization of 48348

Prime factors of 48348 are 2, 3, 17, 79. Prime factorization of 48348 in exponential form is:

48348 = 2² × 3² × 17¹ × 79¹

Step-3: Factors of 48336

List of positive integer factors of 48336 that divides 48336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 53, 57, 76, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 636, 848, 912, 1007, 1272, 2014, 2544, 3021, 4028, 6042, 8056, 12084, 16112, 24168

Step-4: Factors of 48348

List of positive integer factors of 48348 that divides 48336 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 79, 102, 153, 158, 204, 237, 306, 316, 474, 612, 711, 948, 1343, 1422, 2686, 2844, 4029, 5372, 8058, 12087, 16116, 24174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48336 and 48348. The biggest common factor number is the GCF number.
So the greatest common factor 48336 and 48348 is 12.

Also check out the Least Common Multiple of 48336 and 48348