What is the Greatest Common Factor of 49320 and 49335?

Greatest common factor (GCF) of 49320 and 49335 is 15.

GCF(49320,49335) = 15

We will now calculate the prime factors of 49320 and 49335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49320 and 49335.

How to find the GCF of 49320 and 49335?

We will first find the prime factorization of 49320 and 49335. After we will calculate the factors of 49320 and 49335 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 49335

Prime factors of 49335 are 3, 5, 11, 13, 23. Prime factorization of 49335 in exponential form is:

49335 = 3¹ × 5¹ × 11¹ × 13¹ × 23¹

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 49335

List of positive integer factors of 49335 that divides 49320 without a remainder.

1, 3, 5, 11, 13, 15, 23, 33, 39, 55, 65, 69, 115, 143, 165, 195, 253, 299, 345, 429, 715, 759, 897, 1265, 1495, 2145, 3289, 3795, 4485, 9867, 16445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49320 and 49335. The biggest common factor number is the GCF number.
So the greatest common factor 49320 and 49335 is 15.

Also check out the Least Common Multiple of 49320 and 49335