What is the Greatest Common Factor of 48380 and 48385?

Greatest common factor (GCF) of 48380 and 48385 is 5.

GCF(48380,48385) = 5

We will now calculate the prime factors of 48380 and 48385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48380 and 48385.

How to find the GCF of 48380 and 48385?

We will first find the prime factorization of 48380 and 48385. After we will calculate the factors of 48380 and 48385 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 48385

Prime factors of 48385 are 5, 9677. Prime factorization of 48385 in exponential form is:

48385 = 5¹ × 9677¹

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 48385

List of positive integer factors of 48385 that divides 48380 without a remainder.

1, 5, 9677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48380 and 48385. The biggest common factor number is the GCF number.
So the greatest common factor 48380 and 48385 is 5.

Also check out the Least Common Multiple of 48380 and 48385