What is the Greatest Common Factor of 49375 and 49395?

Greatest common factor (GCF) of 49375 and 49395 is 5.

GCF(49375,49395) = 5

We will now calculate the prime factors of 49375 and 49395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49375 and 49395.

How to find the GCF of 49375 and 49395?

We will first find the prime factorization of 49375 and 49395. After we will calculate the factors of 49375 and 49395 and find the biggest common factor number .

Step-1: Prime Factorization of 49375

Prime factors of 49375 are 5, 79. Prime factorization of 49375 in exponential form is:

49375 = 5⁴ × 79¹

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 49375

List of positive integer factors of 49375 that divides 49375 without a remainder.

1, 5, 25, 79, 125, 395, 625, 1975, 9875

Step-4: Factors of 49395

List of positive integer factors of 49395 that divides 49375 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 49375 and 49395. The biggest common factor number is the GCF number.
So the greatest common factor 49375 and 49395 is 5.

Also check out the Least Common Multiple of 49375 and 49395