What is the Greatest Common Factor of 49425 and 49443?

Greatest common factor (GCF) of 49425 and 49443 is 3.

GCF(49425,49443) = 3

We will now calculate the prime factors of 49425 and 49443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49425 and 49443.

How to find the GCF of 49425 and 49443?

We will first find the prime factorization of 49425 and 49443. After we will calculate the factors of 49425 and 49443 and find the biggest common factor number .

Step-1: Prime Factorization of 49425

Prime factors of 49425 are 3, 5, 659. Prime factorization of 49425 in exponential form is:

49425 = 3¹ × 5² × 659¹

Step-2: Prime Factorization of 49443

Prime factors of 49443 are 3, 16481. Prime factorization of 49443 in exponential form is:

49443 = 3¹ × 16481¹

Step-3: Factors of 49425

List of positive integer factors of 49425 that divides 49425 without a remainder.

1, 3, 5, 15, 25, 75, 659, 1977, 3295, 9885, 16475

Step-4: Factors of 49443

List of positive integer factors of 49443 that divides 49425 without a remainder.

1, 3, 16481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49425 and 49443. The biggest common factor number is the GCF number.
So the greatest common factor 49425 and 49443 is 3.

Also check out the Least Common Multiple of 49425 and 49443