What is the Greatest Common Factor of 48380 and 48395?

Greatest common factor (GCF) of 48380 and 48395 is 5.

GCF(48380,48395) = 5

We will now calculate the prime factors of 48380 and 48395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48380 and 48395.

How to find the GCF of 48380 and 48395?

We will first find the prime factorization of 48380 and 48395. After we will calculate the factors of 48380 and 48395 and find the biggest common factor number .

Step-1: Prime Factorization of 48380

Prime factors of 48380 are 2, 5, 41, 59. Prime factorization of 48380 in exponential form is:

48380 = 2² × 5¹ × 41¹ × 59¹

Step-2: Prime Factorization of 48395

Prime factors of 48395 are 5, 9679. Prime factorization of 48395 in exponential form is:

48395 = 5¹ × 9679¹

Step-3: Factors of 48380

List of positive integer factors of 48380 that divides 48380 without a remainder.

1, 2, 4, 5, 10, 20, 41, 59, 82, 118, 164, 205, 236, 295, 410, 590, 820, 1180, 2419, 4838, 9676, 12095, 24190

Step-4: Factors of 48395

List of positive integer factors of 48395 that divides 48380 without a remainder.

1, 5, 9679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48380 and 48395. The biggest common factor number is the GCF number.
So the greatest common factor 48380 and 48395 is 5.

Also check out the Least Common Multiple of 48380 and 48395