What is the Greatest Common Factor of 73830 and 73845?

Greatest common factor (GCF) of 73830 and 73845 is 15.

GCF(73830,73845) = 15

We will now calculate the prime factors of 73830 and 73845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73845.

How to find the GCF of 73830 and 73845?

We will first find the prime factorization of 73830 and 73845. After we will calculate the factors of 73830 and 73845 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73845

Prime factors of 73845 are 3, 5, 547. Prime factorization of 73845 in exponential form is:

73845 = 3³ × 5¹ × 547¹

Step-3: Factors of 73830

List of positive integer factors of 73830 that divides 73830 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

Step-4: Factors of 73845

List of positive integer factors of 73845 that divides 73830 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 547, 1641, 2735, 4923, 8205, 14769, 24615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73845. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73845 is 15.

Also check out the Least Common Multiple of 73830 and 73845