What is the Greatest Common Factor of 49320 and 49331?

Greatest common factor (GCF) of 49320 and 49331 is 1.

GCF(49320,49331) = 1

We will now calculate the prime factors of 49320 and 49331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49320 and 49331.

How to find the GCF of 49320 and 49331?

We will first find the prime factorization of 49320 and 49331. After we will calculate the factors of 49320 and 49331 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49331

Prime factors of 49331 are 49331. Prime factorization of 49331 in exponential form is:

49331 = 49331¹

Step-3: Factors of 49320

List of positive integer factors of 49320 that divides 49320 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

Step-4: Factors of 49331

List of positive integer factors of 49331 that divides 49320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49320 and 49331. The biggest common factor number is the GCF number.
So the greatest common factor 49320 and 49331 is 1.

Also check out the Least Common Multiple of 49320 and 49331