What is the Greatest Common Factor of 94830 and 94845?

Greatest common factor (GCF) of 94830 and 94845 is 15.

GCF(94830,94845) = 15

We will now calculate the prime factors of 94830 and 94845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94830 and 94845.

How to find the GCF of 94830 and 94845?

We will first find the prime factorization of 94830 and 94845. After we will calculate the factors of 94830 and 94845 and find the biggest common factor number .

Step-1: Prime Factorization of 94830

Prime factors of 94830 are 2, 3, 5, 29, 109. Prime factorization of 94830 in exponential form is:

94830 = 2¹ × 3¹ × 5¹ × 29¹ × 109¹

Step-2: Prime Factorization of 94845

Prime factors of 94845 are 3, 5, 6323. Prime factorization of 94845 in exponential form is:

94845 = 3¹ × 5¹ × 6323¹

Step-3: Factors of 94830

List of positive integer factors of 94830 that divides 94830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 109, 145, 174, 218, 290, 327, 435, 545, 654, 870, 1090, 1635, 3161, 3270, 6322, 9483, 15805, 18966, 31610, 47415

Step-4: Factors of 94845

List of positive integer factors of 94845 that divides 94830 without a remainder.

1, 3, 5, 15, 6323, 18969, 31615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94830 and 94845. The biggest common factor number is the GCF number.
So the greatest common factor 94830 and 94845 is 15.

Also check out the Least Common Multiple of 94830 and 94845