What is the Greatest Common Factor of 49320 and 49338?

Greatest common factor (GCF) of 49320 and 49338 is 18.

GCF(49320,49338) = 18

We will now calculate the prime factors of 49320 and 49338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49320 and 49338.

How to find the GCF of 49320 and 49338?

We will first find the prime factorization of 49320 and 49338. After we will calculate the factors of 49320 and 49338 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 49338

Prime factors of 49338 are 2, 3, 2741. Prime factorization of 49338 in exponential form is:

49338 = 2¹ × 3² × 2741¹

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 49338

List of positive integer factors of 49338 that divides 49320 without a remainder.

1, 2, 3, 6, 9, 18, 2741, 5482, 8223, 16446, 24669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49320 and 49338. The biggest common factor number is the GCF number.
So the greatest common factor 49320 and 49338 is 18.

Also check out the Least Common Multiple of 49320 and 49338