What is the Greatest Common Factor of 94815 and 94835?

Greatest common factor (GCF) of 94815 and 94835 is 5.

GCF(94815,94835) = 5

We will now calculate the prime factors of 94815 and 94835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94815 and 94835.

How to find the GCF of 94815 and 94835?

We will first find the prime factorization of 94815 and 94835. After we will calculate the factors of 94815 and 94835 and find the biggest common factor number .

Step-1: Prime Factorization of 94815

Prime factors of 94815 are 3, 5, 7, 43. Prime factorization of 94815 in exponential form is:

94815 = 3² × 5¹ × 7² × 43¹

Step-2: Prime Factorization of 94835

Prime factors of 94835 are 5, 13, 1459. Prime factorization of 94835 in exponential form is:

94835 = 5¹ × 13¹ × 1459¹

Step-3: Factors of 94815

List of positive integer factors of 94815 that divides 94815 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 49, 63, 105, 129, 147, 215, 245, 301, 315, 387, 441, 645, 735, 903, 1505, 1935, 2107, 2205, 2709, 4515, 6321, 10535, 13545, 18963, 31605

Step-4: Factors of 94835

List of positive integer factors of 94835 that divides 94815 without a remainder.

1, 5, 13, 65, 1459, 7295, 18967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94815 and 94835. The biggest common factor number is the GCF number.
So the greatest common factor 94815 and 94835 is 5.

Also check out the Least Common Multiple of 94815 and 94835