What is the Greatest Common Factor of 48348 and 48352?

Greatest common factor (GCF) of 48348 and 48352 is 4.

GCF(48348,48352) = 4

We will now calculate the prime factors of 48348 and 48352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48348 and 48352.

How to find the GCF of 48348 and 48352?

We will first find the prime factorization of 48348 and 48352. After we will calculate the factors of 48348 and 48352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48352

Prime factors of 48352 are 2, 1511. Prime factorization of 48352 in exponential form is:

48352 = 2⁵ × 1511¹

Step-3: Factors of 48348

List of positive integer factors of 48348 that divides 48348 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

Step-4: Factors of 48352

List of positive integer factors of 48352 that divides 48348 without a remainder.

1, 2, 4, 8, 16, 32, 1511, 3022, 6044, 12088, 24176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48348 and 48352. The biggest common factor number is the GCF number.
So the greatest common factor 48348 and 48352 is 4.

Also check out the Least Common Multiple of 48348 and 48352