What is the Greatest Common Factor of 48361 and 48372?

Greatest common factor (GCF) of 48361 and 48372 is 1.

GCF(48361,48372) = 1

We will now calculate the prime factors of 48361 and 48372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48361 and 48372.

How to find the GCF of 48361 and 48372?

We will first find the prime factorization of 48361 and 48372. After we will calculate the factors of 48361 and 48372 and find the biggest common factor number .

Step-1: Prime Factorization of 48361

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

48361 = 137¹ × 353¹

Step-2: Prime Factorization of 48372

Prime factors of 48372 are 2, 3, 29, 139. Prime factorization of 48372 in exponential form is:

48372 = 2² × 3¹ × 29¹ × 139¹

Step-3: Factors of 48361

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

1, 137, 353

Step-4: Factors of 48372

List of positive integer factors of 48372 that divides 48361 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 139, 174, 278, 348, 417, 556, 834, 1668, 4031, 8062, 12093, 16124, 24186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48361 and 48372. The biggest common factor number is the GCF number.
So the greatest common factor 48361 and 48372 is 1.

Also check out the Least Common Multiple of 48361 and 48372