What is the Greatest Common Factor of 49320 and 49330?

Greatest common factor (GCF) of 49320 and 49330 is 10.

GCF(49320,49330) = 10

We will now calculate the prime factors of 49320 and 49330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49320 and 49330.

How to find the GCF of 49320 and 49330?

We will first find the prime factorization of 49320 and 49330. After we will calculate the factors of 49320 and 49330 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 49330

Prime factors of 49330 are 2, 5, 4933. Prime factorization of 49330 in exponential form is:

49330 = 2¹ × 5¹ × 4933¹

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 49330

List of positive integer factors of 49330 that divides 49320 without a remainder.

1, 2, 5, 10, 4933, 9866, 24665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49320 and 49330. The biggest common factor number is the GCF number.
So the greatest common factor 49320 and 49330 is 10.

Also check out the Least Common Multiple of 49320 and 49330