What is the Greatest Common Factor of 49587 and 49593?

Greatest common factor (GCF) of 49587 and 49593 is 3.

GCF(49587,49593) = 3

We will now calculate the prime factors of 49587 and 49593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49587 and 49593.

How to find the GCF of 49587 and 49593?

We will first find the prime factorization of 49587 and 49593. After we will calculate the factors of 49587 and 49593 and find the biggest common factor number .

Step-1: Prime Factorization of 49587

Prime factors of 49587 are 3, 16529. Prime factorization of 49587 in exponential form is:

49587 = 3¹ × 16529¹

Step-2: Prime Factorization of 49593

Prime factors of 49593 are 3, 61, 271. Prime factorization of 49593 in exponential form is:

49593 = 3¹ × 61¹ × 271¹

Step-3: Factors of 49587

List of positive integer factors of 49587 that divides 49587 without a remainder.

1, 3, 16529

Step-4: Factors of 49593

List of positive integer factors of 49593 that divides 49587 without a remainder.

1, 3, 61, 183, 271, 813, 16531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49587 and 49593. The biggest common factor number is the GCF number.
So the greatest common factor 49587 and 49593 is 3.

Also check out the Least Common Multiple of 49587 and 49593