What is the Greatest Common Factor of 49305 and 49311?

Greatest common factor (GCF) of 49305 and 49311 is 3.

GCF(49305,49311) = 3

We will now calculate the prime factors of 49305 and 49311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49305 and 49311.

How to find the GCF of 49305 and 49311?

We will first find the prime factorization of 49305 and 49311. After we will calculate the factors of 49305 and 49311 and find the biggest common factor number .

Step-1: Prime Factorization of 49305

Prime factors of 49305 are 3, 5, 19, 173. Prime factorization of 49305 in exponential form is:

49305 = 3¹ × 5¹ × 19¹ × 173¹

Step-2: Prime Factorization of 49311

Prime factors of 49311 are 3, 5479. Prime factorization of 49311 in exponential form is:

49311 = 3² × 5479¹

Step-3: Factors of 49305

List of positive integer factors of 49305 that divides 49305 without a remainder.

1, 3, 5, 15, 19, 57, 95, 173, 285, 519, 865, 2595, 3287, 9861, 16435

Step-4: Factors of 49311

List of positive integer factors of 49311 that divides 49305 without a remainder.

1, 3, 9, 5479, 16437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49305 and 49311. The biggest common factor number is the GCF number.
So the greatest common factor 49305 and 49311 is 3.

Also check out the Least Common Multiple of 49305 and 49311