What is the Greatest Common Factor of 49311 and 49320?

Greatest common factor (GCF) of 49311 and 49320 is 9.

GCF(49311,49320) = 9

We will now calculate the prime factors of 49311 and 49320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49311 and 49320.

How to find the GCF of 49311 and 49320?

We will first find the prime factorization of 49311 and 49320. After we will calculate the factors of 49311 and 49320 and find the biggest common factor number .

Step-1: Prime Factorization of 49311

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

49311 = 3² × 5479¹

Step-2: Prime Factorization of 49320

Prime factors of 49320 are 2, 3, 5, 137. Prime factorization of 49320 in exponential form is:

49320 = 2³ × 3² × 5¹ × 137¹

Step-3: Factors of 49311

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

1, 3, 9, 5479, 16437

Step-4: Factors of 49320

List of positive integer factors of 49320 that divides 49311 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 137, 180, 274, 360, 411, 548, 685, 822, 1096, 1233, 1370, 1644, 2055, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 8220, 9864, 12330, 16440, 24660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49311 and 49320. The biggest common factor number is the GCF number.
So the greatest common factor 49311 and 49320 is 9.

Also check out the Least Common Multiple of 49311 and 49320