What is the Greatest Common Factor of 48348 and 48361?

Greatest common factor (GCF) of 48348 and 48361 is 1.

GCF(48348,48361) = 1

We will now calculate the prime factors of 48348 and 48361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48348 and 48361.

How to find the GCF of 48348 and 48361?

We will first find the prime factorization of 48348 and 48361. After we will calculate the factors of 48348 and 48361 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 48361

Prime factors of 48361 are 137, 353. Prime factorization of 48361 in exponential form is:

48361 = 137¹ × 353¹

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 48361

List of positive integer factors of 48361 that divides 48348 without a remainder.

1, 137, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48348 and 48361. The biggest common factor number is the GCF number.
So the greatest common factor 48348 and 48361 is 1.

Also check out the Least Common Multiple of 48348 and 48361