What is the Greatest Common Factor of 73815 and 73830?

Greatest common factor (GCF) of 73815 and 73830 is 15.

GCF(73815,73830) = 15

We will now calculate the prime factors of 73815 and 73830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73815 and 73830.

How to find the GCF of 73815 and 73830?

We will first find the prime factorization of 73815 and 73830. After we will calculate the factors of 73815 and 73830 and find the biggest common factor number .

Step-1: Prime Factorization of 73815

Prime factors of 73815 are 3, 5, 7, 19, 37. Prime factorization of 73815 in exponential form is:

73815 = 3¹ × 5¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 73830

Prime factors of 73830 are 2, 3, 5, 23, 107. Prime factorization of 73830 in exponential form is:

73830 = 2¹ × 3¹ × 5¹ × 23¹ × 107¹

Step-3: Factors of 73815

List of positive integer factors of 73815 that divides 73815 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 37, 57, 95, 105, 111, 133, 185, 259, 285, 399, 555, 665, 703, 777, 1295, 1995, 2109, 3515, 3885, 4921, 10545, 14763, 24605

Step-4: Factors of 73830

List of positive integer factors of 73830 that divides 73815 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230, 321, 345, 535, 642, 690, 1070, 1605, 2461, 3210, 4922, 7383, 12305, 14766, 24610, 36915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73815 and 73830. The biggest common factor number is the GCF number.
So the greatest common factor 73815 and 73830 is 15.

Also check out the Least Common Multiple of 73815 and 73830