What is the Greatest Common Factor of 48348 and 48365?

Greatest common factor (GCF) of 48348 and 48365 is 17.

GCF(48348,48365) = 17

We will now calculate the prime factors of 48348 and 48365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48348 and 48365.

How to find the GCF of 48348 and 48365?

We will first find the prime factorization of 48348 and 48365. After we will calculate the factors of 48348 and 48365 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 48365

Prime factors of 48365 are 5, 17, 569. Prime factorization of 48365 in exponential form is:

48365 = 5¹ × 17¹ × 569¹

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 48365

List of positive integer factors of 48365 that divides 48348 without a remainder.

1, 5, 17, 85, 569, 2845, 9673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48348 and 48365. The biggest common factor number is the GCF number.
So the greatest common factor 48348 and 48365 is 17.

Also check out the Least Common Multiple of 48348 and 48365