What is the Greatest Common Factor of 49380 and 49395?

Greatest common factor (GCF) of 49380 and 49395 is 15.

GCF(49380,49395) = 15

We will now calculate the prime factors of 49380 and 49395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49380 and 49395.

How to find the GCF of 49380 and 49395?

We will first find the prime factorization of 49380 and 49395. After we will calculate the factors of 49380 and 49395 and find the biggest common factor number .

Step-1: Prime Factorization of 49380

Prime factors of 49380 are 2, 3, 5, 823. Prime factorization of 49380 in exponential form is:

49380 = 2² × 3¹ × 5¹ × 823¹

Step-2: Prime Factorization of 49395

Prime factors of 49395 are 3, 5, 37, 89. Prime factorization of 49395 in exponential form is:

49395 = 3¹ × 5¹ × 37¹ × 89¹

Step-3: Factors of 49380

List of positive integer factors of 49380 that divides 49380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690

Step-4: Factors of 49395

List of positive integer factors of 49395 that divides 49380 without a remainder.

1, 3, 5, 15, 37, 89, 111, 185, 267, 445, 555, 1335, 3293, 9879, 16465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49380 and 49395. The biggest common factor number is the GCF number.
So the greatest common factor 49380 and 49395 is 15.

Also check out the Least Common Multiple of 49380 and 49395